SOLUTION: Mary wants to make 10 qt. of a 63% saline solution by mixing together a 75% SALINE SOLUTION AND A 55% saline solution. How much of each solution must she use?

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Question 816382: Mary wants to make 10 qt. of a 63% saline solution by mixing together a 75% SALINE SOLUTION AND A 55% saline solution. How much of each solution must she use?
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Mary wants to make 10 qt. of a 63% saline solution 

by mixing together a 75% SALINE SOLUTION AND A 55% saline solution.

Let x and (10qt-x) represent the amount of 75% and 55% solutions respectively

 75x+%2B+55%2810-x%29+=+63%2A10    | After multiplying thru by 100

       20x = 80

         x = 4qt of 75% and 6qt of 55%   (10-4)

CHECKING our answer***

 75%2A4+%2B+55%2A6+=+63%2A10+=+630

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
.63*10=.75x+.55y,
x+y=10
x=4., y=6.