Question

A metal worker has alloys that are 25% and 60% copper. How many kilograms of each alloy should be combined to create a 90kg alloy with 53% copper?

a) 60kg of 25% copper alloy, 30kg of 60% copper alloy
b) 45kg of 25% copper alloy, 45kg of 60% copper alloy
c) 30kg of 25% copper alloy, 60kg of 60% copper alloy
d) 50kg of 25% copper alloy, 40kg of 60% copper alloy

Answer 1

To create a 90kg alloy with 53% copper, you will need 45kg of the 25% copper alloy and 45kg of the 60% copper alloy.

Step-by-step explanation:

To create a 90kg alloy with 53% copper, we need to find out how much of each alloy should be combined.

Let x represent the amount of the 25% copper alloy and y represent the amount of the 60% copper alloy.

We have the following equations:

1. x + y = 90 (total weight of the alloy is 90kg)
2. 0.25x + 0.6y = 0.53 * 90 (the percentage of copper in the alloy is 53%)

Solving these equations, we find that x = 45kg and y = 45kg.

Therefore, we need 45kg of the 25% copper alloy and 45kg of the 60% copper alloy to create the 90kg alloy with 53% copper.