Question

Problem 3Mr Tcha's recipe for fruit protein shake states that 2/3 of the total amount of ingredients should be fruit. The amount of yogurt in the recipe should be 1/4 of the amount of the fruit. If Mr. Tcha has 24 grams of fruits left over, how many grams of fruits and grams of yogurt did he use? What fraction of the total amount of ingredients is neither fruit nor yogurt?Show your work.

Answer 1

So,

Let "T" be the total amount of ingredients for the protein shake.

Let "F" be the aount of fruit, and let "y" be the amount of yogurt.

We know that 2/3 of the total amount of ingredients should be fruit, so we could write:

$\frac{2}{3}T=f$

And, the amount of yogurt in the recipe should be 1/4 of the amount of the fruit. So:

$\frac{1}{4}(\frac{2}{3}T)=y$

Given that He has 24 grams of fruits left over, we could write the following: