Answer
Find out the how much of each metal is needed to make 3.6 kg of this alloy .
To proof
As given
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9 .
This shows that an alloy contains 18 parts and assume one part of alloy be u .
Thus
An alloy consists of nickel = 2u
An alloy consists of zinc = 7u
An alloy consists of copper = 9u
As given
Total weight of alloy = 3.6 kg
Thus equation becomes
2u + 7u + 9u = 3.6
18u = 3.6
[tex]u = \frac{3.6}{18}[/tex]
u = 0.2 kg
An alloy consists of nickel = 2 × 0.2
= 0.4 kg
An alloy consists of zinc = 7 × 0.2
= 1.4 kg
An alloy consists of copper = 9 × 0.2
= 1.8 kg
Hence proved