SOLUTION: Monico needs to mix a 10% acid solution with a 60% acid solution to create 100 mL of a 15% solution. How many mL of each solution must Monico use?

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Question 763341: Monico needs to mix a 10% acid solution with a 60% acid solution to create 100 mL of a 15% solution. How many mL of each solution must Monico use?

Answer by josgarithmetic(39617) About Me  (Show Source):
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Monico needs to mix u mL of a 10% acid solution with v mL of a a 60% acid solution to create 100 mL of a 15% solution. How many mL of each solution must Monico use?

u%2Bv=100 and %2810u%2B60v%29%2F100=15

The rational equation can be easily simplified based on the conveniently chosen given values:
%281%2Au%2B6v%29%2F10=15
u%2B6v=150

The equivalent system to solve is:
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highlight%28u%2B6v=150%29
highlight%28u%2Bv=100%29
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