Rodrigo G.

asked • 10/25/16

word problem

A chemist needs 80 milliliters of 37% solution but has only 19% and 43% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

1 Expert Answer

By:

Mark M. answered • 10/25/16

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0.19(80 - x) + 0.43x = 0.37(80)
 
Can you solve for x?
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Rodrigo G.

All I have to do is solve for x now? 
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10/25/16

Mark M.

Yes! The value of x is the amount of 43%, 15 - x is the amount of 19%.
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10/25/16

Rodrigo G.

×=23.2 right?
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10/25/16

Mark M.

I get x = 60.
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10/25/16

Rodrigo G.

How? Can you explain the step. I'm sorry I'm not very good at math. 
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10/25/16

Mark M.

15.2 - 0.19x + 0.43x = 29.6  distribute
15.2 + 0.24x = 29.6             combine like terms
0.24x = 14.4                       subtract 15.2 from both sides
x = 60                                divide both sides by 0.24                   
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10/25/16

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