Question

Ted made a nut mixture that contains 54%

peanuts by mixing together 5 kg of mixed
nuts that contain 18% peanuts and 15 kg
of a different brand of mixed nuts. The
second brand of mixed nuts contained
what percent peanuts?

Answer 1

To find the percent of peanuts in the second brand of mixed nuts, use a mixture equation. The second brand of mixed nuts contains 72% peanuts.

Step-by-step explanation:

To find the percent of peanuts in the second brand of mixed nuts, we need to use a mixture equation.

Let x represent the percent of peanuts in the second brand of mixed nuts.

We have 5 kg of mixed nuts that contain 18% peanuts, so the amount of peanuts in this mixture is 5 kg * 18% = 0.9 kg

We also have 15 kg of the second brand of mixed nuts, so the amount of peanuts in this mixture is 15 kg * x%

According to the equation, 0.9 kg + 15 kg * x% = (5 kg + 15 kg) * 54%

Simplifying the equation, 0.9 kg + 15 kg * x% = 20 kg * 54%

Converting the percentages to decimals, the equation becomes 0.9 kg + 0.15 kg * x = 10.8 kg

Now we can solve for x by subtracting 0.9 kg from both sides and dividing by 0.15 kg.

x = (10.8 kg - 0.9 kg) / 0.15 kg = 72%

Therefore, the second brand of mixed nuts contains 72% peanuts.