Question

German Silver is an alloy composed of nickel, zinc, and copper in a ratio of 3:4:13.

How many kilograms of each metal are needed to make 4 kg of this alloy?

Answer 1

`\text{Mass of Nickel = 3x =3(0.2)=0.6 kg}`

`\text{Mass of Zinc = 4x = 4(0.2)=0.8 kg}`

`\text{Mass of Copper =13x =13(0.2)= 2.6 kg}`

Explanation:

Given that German Silver is an alloy composed of nickel, zinc, and copper in a ratio of 3:4:13.

we have to find the weight of each metal are needed to make 4 kg of this alloy.

Let us assume that the ratio given acc to mass 3:4:13

`\text{Let mass of nickel=3x kg}`

`\text{Mass of zinc=4x kg}`

`\text{Mass of copper=13 kg}`

As the mass of given alloy is 4 kg

⇒
`3x + 4x + 13 x = 4`

`20x = 4`

`x = (4)/(20)=(1)/(5)=0.2 kg`

`\text{Mass of Nickel = 3x =3(0.2)=0.6 kg}`

`\text{Mass of Zinc = 4x = 4(0.2)=0.8 kg}`

`\text{Mass of Copper =13x =13(0.2)= 2.6 kg}`

Answer 2

We calculate this problem as follows:

3:4:13
Total mass = 4 kg

3x + 4x + 13x = 4
x = 0.2

nickel = 3x0.2 = 0.6
zinc = 4x0.2 = 0.8
copper = 13x0.2 = 2.6

Hope this answers the question. Have a nice day.