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An alloy contains only zinc and copper and they are in the ratio of 7:9. If the weight of the alloy is 8 kg, then find the weight of copper in the alloy. - Mathematics

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Question

An alloy contains only zinc and copper and they are in the ratio of 7:9. If the weight of the alloy is 8 kg, then find the weight of copper in the alloy.

Sum

Solution

The ratio of the weight of zinc and copper is 7:9.

Let the weight of zinc be 7 : x kg and the weight of copper be 9x kg.

The weight of the alloy = 8 kg

⇒ 7x + 9x = 8

⇒ 16x = 8

⇒ x = `8/16 = 1/2`

So, the weight of copper = `9 xx 1/2` kg = `9/2` kg

= `4 1/2` kg

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Chapter 8: Ratio and Proportion - Exercise [Page 127]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 8 Ratio and Proportion
Exercise | Q 71 | Page 127

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