Question

An alloy composed of nickel, zinc, and copper in a 4:1:2 ratio. How many kilograms of each metal are needed to make 35 kg of this alloy?

Answer 1

Let X be the amount of each metal needed to make 35 Kg of this alloy.

We know that an alloy is composed of nickel, zinc and copper in a proportion

4:1:2. Therefore, we have:

`4X+1X+2X = 35`

`7X = 35`

`X=(35)/(7)`

`X=5` Kg

Therefore, there are
`5 * 4 =20` kg of nickel,
`1 * 5 =5` kg of zinc, and
`2 * 5 = 10` kg of copper needed to make 35 kg of this alloy

Answer 2

Explanation:

The ration of weight of nickel, zinc, and copper in an alloy is 4:1:2

The weight of alloy can be written as

4x + x + 2x = 35 Kg

7 x = 35 Kg

X = 35 Kg/7

X = 5kg

The weight of nickel the alloy = 4 x 5 = 20 Kg

The weight of zinc in the alloy= 1 x 5 = 5kg

The weight of copper in the alloy = 2 x 5 = 10 kg