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Some zoo monkeys are on a diet of fruit and nuts. Fruit has about 13.3 grams (g) of sugar per cup and 1.36g of protein per cup. Nuts have about 4.04g of sugar per cup and 15.56g of protein per cup. Each monkey must get between 70g and 90g of sugar per day and at least 85g of protein per day. Which of the following daily diets fits the monkeys' needs? Choose 1 answer: A 0 cups of fruit and 16 cups of nuts (B) 4 cups of fruit and 8 cups of nuts (C) 8 cups of fruit and 4 cups of nuts (D) 16 cups of fruit and 0 cups of nuts

Some zoo monkeys are on a diet of fruit and nuts. Fruit has about 1313.33 grams (g) (\mathrm{g}) of sugar per cup and 1.36 g 1.36 \mathrm{~g} of protein per cup. Nuts have about 4.04 g 4.04 \mathrm{~g} of sugar per cup and 15.56 g 15.56 \mathrm{~g} of protein per cup. Each monkey must get between 70 g 70 \mathrm{~g} and 90 g 90 \mathrm{~g} of sugar per day and at least 85 g 85 \mathrm{~g} of protein per day. Which of the following daily diets fits the monkeys' needs?\newlineChoose 11 answer:\newline(A) 00 cups of fruit and 1616 cups of nuts\newline(B) 44 cups of fruit and 88 cups of nuts\newline(C) 88 cups of fruit and 44 cups of nuts\newline(D) 1616 cups of fruit and 00 cups of nuts

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Q. Some zoo monkeys are on a diet of fruit and nuts. Fruit has about 1313.33 grams (g) (\mathrm{g}) of sugar per cup and 1.36 g 1.36 \mathrm{~g} of protein per cup. Nuts have about 4.04 g 4.04 \mathrm{~g} of sugar per cup and 15.56 g 15.56 \mathrm{~g} of protein per cup. Each monkey must get between 70 g 70 \mathrm{~g} and 90 g 90 \mathrm{~g} of sugar per day and at least 85 g 85 \mathrm{~g} of protein per day. Which of the following daily diets fits the monkeys' needs?\newlineChoose 11 answer:\newline(A) 00 cups of fruit and 1616 cups of nuts\newline(B) 44 cups of fruit and 88 cups of nuts\newline(C) 88 cups of fruit and 44 cups of nuts\newline(D) 1616 cups of fruit and 00 cups of nuts
  1. Check dietary requirements: We need to check each option to see if it meets the monkeys' dietary requirements for sugar and protein. The requirements are:\newline- Between 70g70\text{g} and 90g90\text{g} of sugar per day\newline- At least 85g85\text{g} of protein per day\newlineWe will use the nutritional information given for fruit and nuts to calculate the total sugar and protein for each diet option.
  2. Option A: 00 cups of fruit and 1616 cups of nuts: Option A: 00 cups of fruit and 1616 cups of nuts\newlineSugar: 00 cups of fruit ×13.3 g sugar/cup+16\times 13.3\,\text{g sugar/cup} + 16 cups of nuts ×4.04 g sugar/cup\times 4.04 \,\text{g sugar/cup} \newline=0 g+64.64 g= 0 \,\text{g} + 64.64 \,\text{g} \newline=64.64 g= 64.64 \,\text{g}\newlineProtein: 00 cups of fruit ×1.36 g protein/cup+16\times 1.36\,\text{g protein/cup} + 16 cups of nuts ×15.56 g protein/cup\times 15.56 \,\text{g protein/cup} \newline=0 g+248.96 g= 0 \,\text{g} + 248.96\,\text{g} \newline=248.96 g= 248.96\,\text{g} \newlineCheck if the sugar and protein are within the required range.
  3. Option A does not meet sugar requirement: Option A does not meet the sugar requirement, as 64.64g64.64g is less than the minimum of 70g70g required. Therefore, we can eliminate Option A.
  4. Option B: 44 cups of fruit and 88 cups of nuts: Option B: 44 cups of fruit and 88 cups of nuts\newlineSugar: 44 cups of fruit ×13.3 g sugar/cup+8\times 13.3\,\text{g sugar/cup} + 8 cups of nuts ×4.04 g sugar/cup\times 4.04\,\text{g sugar/cup} \newline=53.2 g+32.32 g= 53.2\,\text{g} + 32.32\,\text{g} \newline=85.52 g= 85.52\,\text{g}\newlineProtein: 44 cups of fruit ×1.36 g protein/cup+8\times 1.36\,\text{g protein/cup} + 8 cups of nuts ×15.56 g protein/cup\times 15.56\,\text{g protein/cup} \newline=5.44 g+124.48 g= 5.44\,\text{g} + 124.48\,\text{g} \newline=129.92 g= 129.92\,\text{g}\newlineCheck if the sugar and protein are within the required range.
  5. Option B meets sugar and protein requirements: Option B meets both the sugar and protein requirements, as 85.52g85.52\text{g} of sugar is within the 70g70\text{g} to 90g90\text{g} range, and 129.92g129.92\text{g} of protein is above the minimum of 85g85\text{g} required. We will check the remaining options to ensure there is no better fit.
  6. Option C: 88 cups of fruit and 44 cups of nuts: Option C: 88 cups of fruit and 44 cups of nuts\newlineSugar: 88 cups of fruit ×13.3g sugar/cup+4\times 13.3\text{g sugar/cup} + 4 cups of nuts ×4.04g sugar/cup\times 4.04\text{g sugar/cup} \newline=106.4g+16.16g= 106.4\text{g} + 16.16\text{g} \newline=122.56g= 122.56\text{g}\newlineProtein: 88 cups of fruit ×1.36g protein/cup+4\times 1.36\text{g protein/cup} + 4 cups of nuts ×15.56g protein/cup\times 15.56\text{g protein/cup} \newline=10.88g+62.24g= 10.88\text{g} + 62.24\text{g} \newline=73.12g= 73.12\text{g}\newlineCheck if the sugar and protein are within the required range.
  7. Option C does not meet sugar and protein requirements: Option C does not meet the sugar requirement, as 122.56g122.56\text{g} is above the maximum of 90g90\text{g} required. It also does not meet the protein requirement, as 73.12g73.12\text{g} is below the minimum of 85g85\text{g} required. Therefore, we can eliminate Option C.
  8. Option D: 1616 cups of fruit and 00 cups of nuts: Option D: 1616 cups of fruit and 00 cups of nuts\newlineSugar: 1616 cups of fruit ×13.3 g sugar/cup+0\times 13.3\,\text{g sugar/cup} + 0 cups of nuts ×4.04 g sugar/cup\times 4.04\,\text{g sugar/cup} \newline=212.8 g+0 g= 212.8\,\text{g} + 0\,\text{g} \newline=212.8 g= 212.8\,\text{g}\newlineProtein: 1616 cups of fruit ×1.36 g protein/cup+0\times 1.36\,\text{g protein/cup} + 0 cups of nuts ×15.56 g protein/cup\times 15.56\,\text{g protein/cup} \newline=21.76 g+0 g= 21.76\,\text{g} + 0\,\text{g} \newline=21.76 g= 21.76\,\text{g}\newlineCheck if the sugar and protein are within the required range.
  9. Option D does not meet sugar and protein requirements: Option D does not meet the sugar requirement, as 212.8g212.8\text{g} is well above the maximum of 90g90\text{g} required. It also does not meet the protein requirement, as 21.76g21.76\text{g} is below the minimum of 85g85\text{g} required. Therefore, we can eliminate Option D.
  10. Final Answer: Since, option B satisfies monkeys' dietary requirements. \newlineTherefore, the answer is 44 cups of fruit and 88 cups of nuts.

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