SOLUTION: The formula 0.85x + 0.50(a-x) = 0.70a expresses the number of gallons x of a fungicide that is85% detergent and will be mixed with a 50% detergent solution to achieve a 70% deterge

Question 143924: The formula 0.85x + 0.50(a-x) = 0.70a expresses the number of gallons x of a fungicide that is85% detergent and will be mixed with a 50% detergent solution to achieve a 70% detergent solution. The 70% solution will fill a 10-gallon tank. What is the value of "a" in the equation?
A. 0.7
B. 0.35
C. 1.40
D. 10
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Now we know that the amount of pure detergent in the 85% solution (0.85x) plus the amount of pure detergent in the 50% solution (0.50(10-x)) has to equal the amount of pure detergent in the final mixture (0.70)*10, so our eq to solve is:
0.85x+0.50(10-x)=0.70*10, so a=10
Hope this helps---ptaylor
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