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Gold is 19 times as heavy as water and copper is 9 times heavy. In what ratio must these metals be mixed so that the mixture may be 15 times as heavy as water?

Gold is 19 times as heavy as water and copper is 9 times heavy. In what ratio must these metals be mixed so that the mixture may be 15 times as heavy as water? Correct Answer 3 : 2

Let quantity of gold is x

Quantity of copper is y

Given,

19x + 9y = 15 (x + y)

⇒ 4x = 6y

⇒ x/y = 3/2

∴ The required ratio = 3 : 2.

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