Question

A metalworker has a metal alloy that is 15% copper and another alloy that is 70% copper. How many kilograms of each alloy should the metalworker combine to create 80 kg of a

48% copper alloy?
The metalworker should use kilograms of the metal alloy that is 15% copper and kilograms of the metal alloy that is 70% copper
(Type whole numbers.)

Answer 1

18 kg of 15% copper alloy

62 kg of 70% copper alloy

Explanation:

Step 1: Calculate the total amount of copper present in 80 kg of 48% copper alloy

Total Copper = 80 x 0.48 = 38.4 kg

Step 2: Calculate the amount of 15% copper alloy required

15% Copper Alloy = 38.4 / 0.15 = 256 kg

Step 3: Calculate the amount of 70% copper alloy required

70% Copper Alloy = (80 - 256) = -176 kg

Step 4: Since the amount of 70% copper alloy required is negative, the metalworker should use 256 kg of the 15% copper alloy and 0 kg of the 70% copper alloy to create 80 kg of 48% copper alloy.