an alloy is composed of nickel, zinc, copper in a ratio of 7:2:9. how many kg of each metal are needed to make 3.6kg of this alloy

Answer 1

To find out how many kg of each metal are needed to make 3.6kg of the alloy, we first need to find the amount of each metal based on the given ratio.

Let the amount of nickel be 7x, zinc be 2x, and copper be 9x.

According to the ratio, the total amount of metal in the alloy is: 7x + 2x + 9x = 18x

Since the total amount of the alloy is 3.6kg, we can set up the following equation:

18x = 3.6

Dividing by 18 on both sides, we get:
x = 0.2

Now we can find the amount of each metal needed in the alloy:

Nickel: 7x = 7(0.2) = 1.4kg
Zinc: 2x = 2(0.2) = 0.4kg
Copper: 9x = 9(0.2) = 1.8kg

Therefore, 1.4kg of nickel, 0.4kg of zinc, and 1.8kg of copper are needed to make 3.6kg of this alloy.