Question

A special cereal mixture contains rice and wheat. For every 3 ounces of wheat that is used in the mixture, they put 7 ounces of rice in the mixture. If they use 63 ounces of rice, how much wheat did they put into the mixture?

A. 21 ounces
B. 9 ounces
C. 27 ounces
D. 18 ounces

Answer 1

They put 27 ounces of wheat into the mixture.

Step-by-step explanation:

Let's use a proportion to solve this problem.

Let's say the amount of wheat used is x ounces.

According to the given information, the ratio of wheat to rice is 3:7.

This means that for every 3 ounces of wheat used, 7 ounces of rice are used.

We can set up the proportion: 3/7 = x/63.

To solve for x, we can cross-multiply: 3 * 63 = 7 * x.

Simplifying, we get 189 = 7x.

Dividing both sides by 7, we find x = 27.

Therefore, they put 27 ounces of wheat into the mixture.