SOLUTION: A mechanic has two antifreeze solutions. One is 70% antinfreeze and the other is 40% antifreeze. How much of each solution should be mixed to make 60 gallons of a solution that is

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Question 343289: A mechanic has two antifreeze solutions. One is 70% antinfreeze and the other is 40% antifreeze. How much of each solution should be mixed to make 60 gallons of a solution that is 52% antifreeze?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 70% antinfreeze, B the amount of 40% antifreeze.
1.A%2BB=60
.
.
.
70A%2B40B=52%2860%29
2.7A%2B4B=312
From eq. 1,
A=60-B
Substitute into eq. 2,
7%2860-B%29%2B4B=312
420-7B%2B4B=312
-3B=-108
highlight%28B=36%29gallons
Then from eq. 1,
A%2B36=60
highlight%28A=24%29gallons