Question

An alloy contain 40% of Zinc 45% copper and rest is Nicole .If the alloy contain 36kg of copper, Find the quantity of zinc and nickle in the alloy?

Answer 1

Answer:

16 kg zinc and 12 kg nickel

Answer 2

Appropriate Question :-

• An alloy contains 40% of zinc, 45% of copper and the rest is nickel. If the alloy containe 36 kg of copper, find the quantity of zinc and nickel in the alloy.

Answer -

• Quantity of zinc in the alloy = 32 kg.
• Quantity of nickel in the alloy = 12 kg.

To find -

• The quantity of zinc and nickel in the alloy.

Step-by-step explanation -

• Before finding the quantity of zinc and nickel in the alloy, we have to find the total quantity of all the metals in the alloy.

Let :-

• The total quantity of metals in the alloy be "x" kg.

Given that :-

• The alloy contains 45% of copper.
• It contains 36 kg of copper.

Therefore,

$\longrightarrow \: \sf45\% \: of \: x = 36$

$\sf \longrightarrow \: \dfrac{45}{100} \times x = 36$

$\sf\longrightarrow \: \dfrac{45x}{100} = 36$

$\sf\longrightarrow \: 45x = 36 \times 100$

$\longrightarrow \: \sf45x = 3600$

$\sf \longrightarrow \: x = \dfrac{3600}{45}$

$\sf \longrightarrow \: x = 80 \: kg$

Hence :-

• The total quantity of metals in the alloy is 80 kg.

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• Now let's find the quantity of zinc and nickel, but for that, first let's find the percentage of nickel in the alloy!

Given that :-

• The alloy contains 40% of zinc, 45% of copper and the rest is nickel.

Therefore,

• The quantity of nickel in the alloy = 100% - 45% - 40% = 15%.

Hence :-

$\rm Quantity \: of \: zinc = 40\% \: of \: 80 = 32 \: kg.$

$\rm Quantity \: of \: nickel = 15\% \: of \: 80 = 12 \: kg$

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