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The formula
C = 9f + 4p + 4c
gives the number of calories C in a serving of food that contains f grams of fat, p grams of protein, and c grams of carbohydrate.†

Find the number of grams of protein in an 8-ounce serving of vanilla yogurt that contains 179 calories, 3 g of fat, and 31 g of carbohydrate.
g

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Answer:

7 grams of protein

Step-by-step explanation:

C = 9f + 4p + 4c

Plug the given information into the given formula

179 = 9(3) + 4p + 4(31)

Use PEMDAS

179 = 27 + 4p + 124

Combine like terms

179 = 151 + 4p

Subtract both sides by 151 to isolate variable p

179 - 151 = 4p

28 = 4p

Divide both sides by 4 to isolate variable p

28 ÷ 4 = p

7 = p