[3 : 2] Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in which these t

For Competitive Exams

Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in which these two metals be mixed so that the mixture is 15 times as heavy as water is:

1 : 2

2 : 3

3 : 2

19: 135

Explanation:
Let the ration of gold and copper that taken be a:l
$\dfrac{19a + 9I}{a+I}$ = $\dfrac{15}{I}$
19a+9I = 15a+15I
19a-15a=15I-9I
4a=6I
2a=3I
$\dfrac{a}{I} $ = $\dfrac{3}{2}$
Gold and copper are taken in the ratio 3 : 2

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