SOLUTION: How many liters of a 7% solution of salt should be added to a 27% solution in order to obtain 1180 liters of a 10% solution?

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Question 703854: How many liters of a 7% solution of salt should be added to a 27% solution in order to obtain 1180 liters of a 10% solution?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
How much salt? v*0.07+u*0.27, where v is volume of low salt material and u is volume of high salt material.
Want result of 1180 ml. of 0.10 fraction salt solution.
%280.07v%2B0.27u%29%2F1180=0.10
v%2Bu=1180
Multiply salt equation by 100 and get
%287v%2B27u%29%2F1180=10
Multiply both sides by 1180,
7v%2B27u=11800

Using volume equation, v=1180-u, so substitute this into the v and u equation getting us 7%281180-u%29%2B27u=11800,
..
u=%281180-7%2A118%29%2F2
u=177 milliliters,
so v = 1003 milliliters.