Answer to Question #289265 in Algebra for austyn

Question

The calorie count of a serving of food can be computed based on its composition of​ carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C=4h+9f+4p​, where h is the number of grams of carbohydrate contained in the​ serving, f is the number of grams of fat contained in the​ serving, and p is the number of grams of protein contained in the serving.

A serving of raisins contains 114 calories and 25 grams of carbohydrate. If raisins are a​ fat-free food, how much protein is provided by this serving of​ raisins?

Answer 1

Solution:

Given, $C=4h+9f+4p$ ...(i)

$C=114, h=25,f=0,p=?$

Putting these values in (i), we get,

$114=4(25)+9(0)+4p \\ \Rightarrow 114=100+0+4p \\\Rightarrow 14=4p \\ \Rightarrow p=\dfrac{14}4 \\ \Rightarrow p=3.5\ g$