SAT Mathematics Practice Test 7

Questions 45 and 46 refer to the following information.

Energy per Gram of Typical Macronutrients

Macronutrient	Food calories	Kilojoules
Protein	4.0	16.7
Fat	9.0	37.7
Carbohydrate	4.0	16.7

The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food.

Question : 46 of 59

Marks: +1, -0

If the 180 food calories in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydrate, which of the following expresses f in terms of p and c ?

$f = 20 + 4/9 (p + c)$
$f = 20 - 4/9 (p + c)$
$f = 20 - 4/9 (p - c)$
$f = 20 + 9/4 (p + c)$

Validate

Solution:

It is given that there are 4.0 food calories per gram of protein, 9.0 food calories per gram of fat, and 4.0 food calories per gram of carbohydrate. If 180 food calories in a granola bar came from p grams of protein, f grams of fat, and c grams of carbohydrate, then the situation can be represented by the equation 180 = 4p + 9f + 4c. The equation can then be rewritten in terms of f by subtracting 4p and 4c from both sides of the equation and then dividing both sides of the equation by 9. The result is the equation

f = 20 - 4/9 (p + c)

Go to Question:

Prev Question

Next Question