A metalworker has a metal alloy that is 25% copper and another alloy that is 60% copper. How many kilograms of each alloy should the metalworker combine to create 50kg of a 46% copper alloy

20kg of 25% copper alloy

30kg of 60% copper alloy

Step-by-step explanation:

There are 2 kinds of metal, first metal (A) have 25% copper while the second metal (B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg (0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.

A+B = 50

A = 50-B

Let's put the first equation into the second.

0.25A + 0.6B = 0.46 * 50

0.25 (50-B) + 0.6B = 23

12.5 - 0.25B + 0.6B = 23

0.35B=23 - 12.5

B = 10.5 / 0.35 = 30

Then we can solve A

A = 50-B

A = 50-30

A=20