### Home > MC1 > Chapter 9 > Lesson 9.1.1 > Problem9-5

9-5.

Examine the snack-mix recipes described below.

1. Calculate the portion of each mix below that is chocolate chips, expressing your answer as a percent. Which recipe has the greatest concentration of chocolate chips?

For Recipe A, find the total number of cups in the recipe.

Next, write a fraction expressing the portion that is chocolate chips.

Convert the fraction into a percent.

$3 \text{ cups} + 2 \text{ cups} + 2 \text{ cups} + 2 \text{ cups} + 1 \text{ cup} = 10 \text{ cups}$

$\frac{3}{10}$

$\frac{3}{10}=\frac{30}{100}=30\%$

$30\%$ of Recipe A is chocolate chips.
Repeat the above steps for Recipe B and Recipe C, then determine which has the highest percent of chocolate chips.

2. Calculate the portion of each mix that is peanuts, again expressing your answer as a percent. Which recipe has the greatest concentration of peanuts?

This problem is very similar to part (a), and you have already found the total number of cups in each recipe.
For each recipe, express the portion first as a fraction and then convert the fraction to a percent.

Recipe A:
3 cups Choc. Chips
2 cups Peanuts
2 cups Raisins
2 cups Cashews
1 cup Coconut

Recipe B:
5 cups Choc. Chips
7 cups Peanuts
4 cups Raisins
2 cups Cashews
1 cup Coconut
1 cup Almonds

Recipe C:
6 cups Choc. Chips
7 cups Peanuts
5 cups Raisins
2 cups Cashews
2 cups Coconut
3 cups Almonds