Question

A 22-pound mixture of cashews and peanuts contains 20 percent cashews by weight. How many pounds of cashews are in the mixture?

There are ______ pounds of cashews.

Answer 1

There are 4.4 pounds of cashews in the 22-pound mixture that is 20 percent cashews by weight.

Step-by-step explanation:

The student has asked how many pounds of cashews are in a 22-pound mixture of cashews and peanuts, where cashews make up 20% of the total weight. To find this, we use the percentage given and apply it to the total weight of the mixture.

First, we convert the percentage of cashews to a decimal by dividing by 100:

20% = 20 ÷ 100 = 0.20

Then, we multiply the total weight of the mixture by this decimal to get the weight of the cashews:

0.20 × 22 pounds = 4.4 pounds

So, there are 4.4 pounds of cashews in the mixture.