the ratio of iron and nickel in an alloy is 3:5 .if the weight of iron in the metal is 27 kg ,find the weight of nickel in the alloy.
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Let x be the amount of first alloy mixed
let y be the amount of second alloy mixed
Copper in 1
st
alloy =
7
5
x
Copper in 2
nd
alloy =
7
3
x
Total copper =
7
5x+3y
Zinc in 1
st
alloy =
7
2
x
Zinc in 2
nd
alloy =
7
4
x
Total Zinc =
7
2x+4y
Both copper & zinc should be in ∣:∣ ratio
7
2x+4y
7
5x+3y
=1
5x+3y=2x+4y
3x=y ⟶(I)
we know both alloy should make 28kg
x+y=28 ⟶(II)
where y=3x
x+3x=28
x=7kg ⟶1
st
alloy
y=21kg ⟶2
nd
alloy
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