(Math, Fitness) V2, American Shopper: Nutrition Mathematics for the Next Generation
Mathematical Challenge of Personal Responsibility and Nutritional Wisdom
Rewritten and Mixed Math Problems (Male Subjects)
Section I: Fundamental Calculations
James buys 4 jars of organic pear puree at $3.15 each. What is his total cost?
If James has $60 to spend on organic groceries and has already spent $34.20, how much money remains?
Organic strawberries cost $6.25 per pint. If James buys 3 pints, how much change will he get from a $25 bill?
Mitchell needs 30 ounces of whole milk daily. If a gallon contains 128 ounces, how many days will one gallon last?
Conventional cucumbers cost $0.99 per pound, while organic cucumbers cost $2.49 per pound. What is the price difference per pound?
A jar of organic pumpkin puree contains 5 servings of 3 ounces each. How many total ounces are in the jar?
Organic cheese costs $7.20 for 40 ounces. Calculate the cost per ounce.
If Mitchell consumes 4 ounces of pureed vegetables per meal and eats 4 meals daily, how many ounces does he consume in 5 days?
James buys 8 apples at $0.75 each. What is the total cost?
A package of organic teething crackers contains 15 crackers. If Mitchell eats 2 crackers daily, how many days will the package last?
Section II: Percentage Calculations
Organic grapes cost 40% more than conventional grapes. If conventional grapes cost $2.10 per pound, what is the cost of organic grapes?
A jar of organic baby food contains 50% fewer preservatives than conventional options. If conventional baby food contains 20 mg of preservatives, how many mg are in the organic option?
James saved 30% by using a coupon on Mitchell’s organic snacks. If he paid $21.00 after the discount, what was the original price?
Organic milk contains 25% more omega-3 fatty acids than conventional milk. If conventional milk has 12 mg per serving, how many mg are in organic milk?
The store offers a “buy two get one free” deal on organic fruit pouches. If each pouch normally costs $1.50, calculate the cost of 9 pouches under this deal.
Organic chicken contains 70% less antibiotic residue than conventional chicken. If conventional chicken contains 6 ppm of antibiotics, how many ppm are in organic chicken?
The nutritionist recommends increasing Mitchell’s vitamin D intake by 20%. If he currently consumes 600 IU daily, what should his new daily intake be?
James notices that organic berries contain 15% more antioxidants than conventional berries. If conventional berries have 30 mg of antioxidants per serving, how many mg are in organic berries?
The store is having a 25% off sale on all baby food. If James’s total before the discount was $52.00, calculate his final cost.
Organic vegetables lose approximately 6% of their nutritional value each day after purchase. If fresh organic spinach contains 150 mg of vitamin K on purchase day, how much remains after 4 days?
Section III: Ratio and Proportion
The recommended ratio of fruits to vegetables in a toddler’s diet is 3:4. If Mitchell consumes 14 ounces of fruits and vegetables daily, how many ounces should be vegetables?
James mixes apple juice and water in a 2:5 ratio for Mitchell. How much water should he add to 4 ounces of apple juice?
The ratio of protein to carbohydrates in a toddler snack is 2:5. If a snack contains 15 grams of carbohydrates, how many grams of protein should it contain?
Mitchell’s dietitian recommends a calcium to magnesium ratio of 3:2. If Mitchell needs 600 mg of calcium daily, how much magnesium should he consume?
Organic baby food costs $1.50 per ounce, while homemade puree costs $0.50 per ounce. What is the ratio of organic baby food cost to homemade puree cost?
James prepares a snack mix using cheerios, dried cranberries, and cheese cubes in a 6:3:5 ratio. If he uses 18 cheerios, how many cheese cubes should he add?
The ratio of omega-3 to omega-6 fatty acids in Mitchell’s diet should be 2:5. If he consumes 900 mg of omega-6 fatty acids, how many mg of omega-3 should he consume?
James spends money on fruits, vegetables, and proteins in a 3:2:5 ratio. If he spends $30 on vegetables, how much does he spend on proteins?
The nutritionist recommends a ratio of 4:3:3 for carbohydrates, proteins, and fats in Mitchell’s diet. If he consumes 60 grams of carbohydrates, how many grams of fat should he consume?
The ratio of zinc to iron in a toddler supplement is 3:7. If the supplement contains 12 mg of zinc, how much iron does it contain?
Section IV: Word Problems
James notices organic pears cost $4.25 per pound and conventional pears cost $2.15 per pound. He buys 3 pounds of organic pears and 2 pounds of conventional pears. Calculate his total expenditure.
Mitchell drinks 5 ounces of organic whole milk with each meal. If he eats 4 meals daily and organic whole milk costs $6.50 per half-gallon (64 ounces), how much does James spend on Mitchell’s milk in a week?
Organic carrots contain 10 mg of beta-carotene per ounce, while conventional carrots contain 7 mg per ounce. If Mitchell consumes 5 ounces of organic carrots and 4 ounces of conventional carrots in a day, how many total mg of beta-carotene does he consume?
James buys organic fruit pouches at $1.60 each. If he purchases pouches in bulk, he can get 12 pouches for $16.80. How much does he save per pouch when buying in bulk?
Mitchell consumes 4 jars of organic baby food daily. Each jar costs $2.10. Calculate James’s monthly (30 days) expenditure on Mitchell’s baby food.
James prepares homemade baby food that costs $0.70 per serving compared to store-bought organic baby food at $1.85 per serving. If Mitchell eats 5 servings daily, how much does James save in a week by making homemade food?
Organic kale contains 50 mg of calcium per ounce, while conventional kale contains 35 mg per ounce. If Mitchell consumes 3 ounces of organic kale, how much more calcium does he receive compared to the same amount of conventional kale?
James wants to prepare enough organic vegetable puree to last 6 days. If Mitchell consumes 10 ounces daily and James’s recipe yields 18 ounces per batch, how many batches must he prepare?
Organic blueberries cost $5.50 per pint while conventional blueberries cost $3.50 per pint. Organic blueberries contain 25% more antioxidants than conventional ones. If James has $20 to spend, should he purchase organic or conventional blueberries to maximize Mitchell’s antioxidant intake?
James prepares a homemade trail mix using 10 ounces of cheerios ($4.50 per 12-ounce box), 5 ounces of raisins ($3.00 per 8-ounce box), and 5 ounces of freeze-dried strawberries ($4.50 per 2-ounce package). Calculate the cost of the trail mix.
Section V: Unit Conversions
A jar of organic baby food contains 125 grams of pureed vegetables. Convert this to ounces. (1 ounce = 28.35 grams)
Mitchell needs 800 milligrams of calcium daily. Convert this to grams.
James purchases 3.3 pounds of organic chicken. Convert this to kilograms. (1 kilogram = 2.205 pounds)
An organic juice box contains 7.25 fluid ounces. Convert this to milliliters. (1 fluid ounce = 29.57 milliliters)
Mitchell’s pediatrician recommends limiting sugar intake to 30 grams daily. Convert this to ounces.
A serving of organic yogurt contains 9 grams of protein. Convert this to ounces.
James buys 1.1 kilograms of organic strawberries. Convert this to pounds.
Mitchell’s sippy cup holds 200 milliliters of liquid. Convert this to fluid ounces.
Organic baby cereal contains 8 grams of iron per 100 grams. If Mitchell consumes 40 grams of cereal, how many milligrams of iron does he consume?
A recipe calls for 250 milliliters of organic whole milk. If James’s measuring cup only shows ounces, how many ounces should he use?
Section VI: Time and Money Management
James spends 50 minutes preparing homemade baby food that lasts 4 days. Store-bought organic baby food requires no preparation time but costs $6.00 more over the same period. If James values his time at $13 per hour, is it more economical to make homemade food or buy store-bought?
James can save 20% by driving to an organic market 25 minutes away instead of shopping at his local grocery store. If his weekly organic grocery bill at the local store is $90 and he values his time at $15 per hour (including gas for the round trip), is it worth driving to the organic market?
James notices that conventional produce costs 30% less than organic produce. If his monthly organic produce expenditure for Mitchell is $80, how much would he save annually by switching to conventional produce?
Organic baby food jars cost $2.10 each. A baby food maker costs $129.99 and yields servings that cost $0.50 in ingredients each. After how many servings does the baby food maker become the more economical choice?
James can save 20% by buying organic products in bulk. If his monthly expenditure on Mitchell’s organic foods is $240 without bulk purchasing, how much would he save in a year by buying in bulk?
An organic meal delivery service costs $70 weekly but saves James 5 hours of shopping and preparation time. If James values his time at $16 per hour and currently spends $50 weekly on Mitchell’s organic groceries, is the meal delivery service economically justified?
James notices that organic fruits and vegetables go on sale at 25% off every 4 weeks. If his weekly expenditure on Mitchell’s organic produce is $30 at regular price, how much can he save in a 16-week period by only purchasing produce during sales?
A membership to an organic food co-op costs $80 annually and provides a 22% discount on all purchases. If James spends an average of $40 weekly on Mitchell’s organic foods, after how many weeks does the membership become economically beneficial?
James can either purchase 30 jars of organic baby food for $54.00 or make the equivalent amount of homemade baby food for $21.00 plus 3 hours of preparation time. If James values his time at $14 per hour, which option is more economical?
Organic milk costs $6.50 per half-gallon and lasts 6 days before expiring. Conventional milk costs $3.75 per half-gallon and lasts 9 days. If James uses exactly one half-gallon every 6 days, calculate the annual cost difference between purchasing organic versus conventional milk.
Section VII: Nutritional Analysis
Organic apple sauce contains 18 grams of sugar per 5-ounce serving, while conventional apple sauce contains 22 grams per serving. Calculate the percentage reduction in sugar in the organic version.
Mitchell consumes 3 ounces of organic turkey (8g protein per ounce), 4 ounces of vegetables (3g protein per ounce), and 5 ounces of quinoa (5g protein per ounce) for dinner. Calculate his total protein intake.
James aims for Mitchell to consume 1100 calories daily, distributed as 45% carbohydrates, 35% fats, and 20% protein. If carbohydrates and proteins each provide 4 calories per gram and fats provide 9 calories per gram, how many grams of each macronutrient should Mitchell consume?
Organic blueberries contain 10 mg of vitamin C per ounce, while conventional blueberries contain 8 mg per ounce. If Mitchell’s vitamin C requirement is 18 mg daily and he consumes 3 ounces of blueberries, how much additional vitamin C does he need?
Mitchell’s pediatrician recommends that no more than 18% of his caloric intake come from natural sugars. If Mitchell consumes 950 calories daily and natural sugars provide 4 calories per gram, what is the maximum amount of natural sugar he should consume in grams?
Organic sweet potatoes contain 30% more vitamin A than conventional sweet potatoes. If conventional sweet potatoes contain 15,000 IU of vitamin A per cup and Mitchell consumes 1/2 cup of organic sweet potatoes, how many IU of vitamin A does he consume?
James prepares a smoothie with 7 ounces of organic whole milk (175 calories), 5 ounces of organic berries (75 calories), and 1.5 tablespoons of organic peanut butter (140 calories). Calculate the total calories in the smoothie.
Mitchell’s daily iron requirement is 8 milligrams. If his breakfast provides 2.5 mg, lunch provides 2.0 mg, and snacks provide 1.0 mg, how much iron should his dinner provide to meet his daily requirement?
Organic carrots retain approximately 80% of their nutrients when steamed, while retaining only 55% when boiled. If raw organic carrots contain 6 mg of vitamin A per ounce, calculate the difference in vitamin A content between 4 ounces of steamed versus boiled carrots.
James prepares a meal with 30% protein, 30% fat, and 40% carbohydrates by caloric content. If the meal contains 350 calories, how many calories come from fat?
Section VIII: Advanced Problem Solving
James notices that organic foods cost an average of 45% more than conventional foods but contain 35% fewer pesticide residues. If conventional foods in Mitchell’s diet would expose him to 18 mg of pesticide residues monthly and James’s monthly conventional food budget would be $200, how much extra would James pay monthly per mg of pesticide reduction by purchasing organic?
James alternates between three brands of organic baby food that cost $1.85, $2.00, and $2.25 per jar respectively. If he wants the average cost per jar to be no more than $2.00 and purchases 40 jars monthly, create an inequality to represent all possible purchasing combinations.
Mitchell’s optimal daily nutritional intake can be modeled by the equation 3p + 2c + 2f = 450, where p represents protein in grams, c represents carbohydrates in grams, and f represents fat in grams. If Mitchell requires at least 40 grams of protein and 30 grams of fat daily, and protein should not exceed twice the amount of fat, find a possible solution for p, c, and f.
James tracks the relationship between Mitchell’s organic fruit consumption (x ounces) and his daily energy level (y on a scale of 1-10) over 30 days. He determines the relationship can be modeled by y = 4 + 0.4x - 0.015x². What is the optimal amount of fruit Mitchell should consume to maximize his energy level?
The nutritional value (N) of organic produce can be modeled by the function N(d) = 110 * (0.94)^d, where d represents days since harvest. The nutritional value of conventional produce follows N(d) = 90 * (0.91)^d. After how many days does conventional produce have less than 45% of the nutritional value of freshly harvested organic produce?
Conclusion
The ability to apply mathematical reasoning to nutritional choices isn’t merely academic—it’s the foundation of responsible caregiving and personal agency. Those who master these concepts aren’t merely passing a test—they’re developing the quantitative framework necessary for making informed decisions that impact the next generation.
To all students: after completing this assessment, proceed directly to the gymnasium for four hours of physical education. True education doesn’t merely exercise the mind—it demands physical discipline and personal accountability.
Empowerment isn’t granted through easy assessments—it’s seized through intellectual challenge and principled application of knowledge.