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# Gold and Copper Are as Heavy as Water by 19 and 9 Times Respectively. the Ratio in Which These Two Metals Be Mixed So that the Mixture is 17 Times as Heavy as Water Is: - Mathematics

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MCQ

Choose the most appropriate option.

Gold and copper are as heavy as water by 19 and 9 times respectively. The ratio in which these two metals be mixed so that the mixture is 17 times as heavy as water is:

#### Options

• 4:1

• 3:2

• 2:3

• 3:4

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#### Solution

4:1

Explanation:

Let the mass of 1 volume unit of water be 1.
Then,

1 volume unit of gold has a mass 19 and 1 volume unit of copper has mass 9.

Now let g be the volume of gold used and c be the volume of copper.

Then,
(19 g + 9 c)/ (g + c) = 17

19 g + 9 c = 17 g + 17 c

2 g = 8 c

"g"/"c"=8/2=4/1

∴ Required ratio = 4: 1

Concept: Mixture and Alligations
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