Question

Eduardo mixed 44 kg of peanuts with 66 kg of mixed nuts containing 60%60% peanuts. What percent of the new mixture is peanuts?

a) 40%
b) 45%
c) 50%
d) 55%

Answer 1

To find the percent of peanuts in the new mixture, calculate the weight of peanuts in the original mixture and mixed nuts, then divide it by the total weight of the mixture and multiply by 100. The percent of peanuts in the new mixture is 45%.

Step-by-step explanation:

To determine the percent of peanuts in the new mixture, we need to find the total weight of peanuts in the mixture and divide it by the total weight of the mixture.

First, we calculate the total weight of peanuts in the original mixture by multiplying the percentage of peanuts in the mixed nuts by its weight. The total weight of peanuts in the mixed nuts is 66 kg * 60% = 39.6 kg.

Next, we add the weight of the original peanuts to the weight of peanuts in the mixed nuts. The total weight of peanuts in the new mixture is 44 kg + 39.6 kg = 83.6 kg.

Finally, we divide the weight of peanuts in the new mixture by the total weight of the mixture and multiply by 100 to get the percentage. The percent of peanuts in the new mixture is (83.6 kg / (44 kg + 66 kg)) * 100 = 45%.