Question

The ratio of candy to fruit in a piñata is 1/2 pound to 3/4. If we fill two piñatas and use 4 pounds of candy, how many pounds of fruit will we need? Explain.

Answer 1

To find the amount of fruit needed, we can set up a proportion using the given ratio and the amount of candy. We find that we will need 4/3 pounds of fruit.

Step-by-step explanation:

To find out how many pounds of fruit we will need, we can use the ratio given in the question. The ratio of candy to fruit in a piñata is 1/2 pound to 3/4.

We know that we have 4 pounds of candy and we need to fill two piñatas, so each piñata will have 4/2 = 2 pounds of candy.

To find the amount of fruit needed, we set up a proportion:
1/2 pound of candy / x pounds of fruit = 2 pounds of candy / 1 piñata

Cross multiplying, we get:
1/2 * 1 = 3/4 * x
x = (1/2)/(3/4) = 2/3

Therefore, we will need 2/3 pounds of fruit for each piñata, and since we have two piñatas, we will need a total of (2/3) * 2 = 4/3 pounds of fruit.