Some zoo monkeys are on a diet of fruit and nuts. Fruit has about 13.3g 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 1.36g0 cups of nuts(C) 1.36g0 cups of fruit and 4 cups of nuts(D) 16 cups of fruit and 0 cups of nuts
Q. Some zoo monkeys are on a diet of fruit and nuts. Fruit has about 13.3g 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 1.36g0 cups of nuts(C) 1.36g0 cups of fruit and 4 cups of nuts(D) 16 cups of fruit and 0 cups of nuts
Analyze Diet Requirements: First, let's analyze the requirements for the monkeys' diet:- They need between 70g and 90g of sugar per day.- They need at least 85g of protein per day.We will calculate the sugar and protein content for each diet option to see which one meets these requirements.
Option (A) Analysis: Option (A) proposes 0 cups of fruit and 16 cups of nuts. Let's calculate the sugar and protein intake for this option:Sugar: 0 cups of fruit ×13.3g+16 cups of nuts ×4.04g=0g+64.64g=64.64gProtein: 0 cups of fruit ×1.36g+16 cups of nuts ×15.56g=0g+248.96g=248.96gThis option does not meet the sugar requirement, as it is below 70g.
Option (B) Analysis: Option (B) proposes 4 cups of fruit and 8 cups of nuts. Let's calculate the sugar and protein intake for this option:Sugar: 4 cups of fruit ×13.3g+8 cups of nuts ×4.04g=53.2g+32.32g=85.52gProtein: 4 cups of fruit ×1.36g+8 cups of nuts ×15.56g=5.44g+124.48g=129.92gThis option meets both the sugar and protein requirements.
Option (C) Analysis: Option (C) proposes 8 cups of fruit and 4 cups of nuts. Let's calculate the sugar and protein intake for this option:Sugar: 8 cups of fruit ×13.3g+4 cups of nuts ×4.04g=106.4g+16.16g=122.56gProtein: 8 cups of fruit ×1.36g+4 cups of nuts ×15.56g=10.88g+62.24g=73.12gThis option exceeds the sugar requirement and does not meet the protein requirement.
Option (D) Analysis: Option (D) proposes 16 cups of fruit and 0 cups of nuts. Let's calculate the sugar and protein intake for this option:Sugar: 16 cups of fruit ×13.3g+0 cups of nuts ×4.04g=212.8g+0g=212.8gProtein: 16 cups of fruit ×1.36g+0 cups of nuts ×15.56g=21.76g+0g=21.76gThis option greatly exceeds the sugar requirement and does not meet the protein requirement.
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