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Answer on Algebra Question for Mark

Question #32394
Gold is 19 times as heavy as water, copper is 9 times as heavy as water. in what ratio should these be mixed to get an alloy 15 times as heavy as water?
Expert's answer
Suppose we have 1m^3 of water, 1m^3 of gold and 1m^3 of copper. Then we have for mass fractions 1 for water, 19 for gold and 9 for copper. We want to get 15 units of mass, so we need to get x m^3 of gold and 1-x m^3 of copper
19x+9(1-x)=15
19x+9-9x=15
10x=6
x=3/5
1-x=2/5
then we need to get 3 parts of gold and 2 parts of copper, so ratio is 3:2 gold to copper.

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Comments

Assignment Expert
28.06.2013 05:07

This is Algebra question.

Mark
27.06.2013 10:19

Please, what category does this question #32394 belong?

Assignment Expert
27.06.2013 09:43

<div>You're welcome. We are glad to be helpful.</div><div>If you really liked our service please press like-button beside answer field. Thank you!</div><div>
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Mark
26.06.2013 10:42

The answer is absolutely correct. I did it and got the ration to be same. Thanks.

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