Question

How many ounces of peanuts must Krystal add to 20 ounces of mixed nuts containing 40% peanuts to make a mixture with 50% peanuts?

Answer 1

To make a mixture with 50% peanuts, Krystal must add 4 ounces of peanuts to 20 ounces of mixed nuts containing 40% peanuts.

Step-by-step explanation:

To find the number of ounces of peanuts Krystal must add to make a mixture with 50% peanuts, we can set up a equation using the concept of percent. Let x represent the number of ounces of peanuts Krystal adds.

Given:
Starting mixture: 20 ounces of mixed nuts with 40% peanuts.
Desired mixture: 50% peanuts.

Using the concept of percent, we can write the equation:
(0.40)(20) + x = (0.50)(20 + x)

Solving the equation for x gives:
(0.40)(20) + x = (0.50)(20 + x)
8 + x = 10 + 0.50x
x - 0.50x = 10 - 8
0.50x = 2
x = 4