SOLUTION: Joseph mixes a certain amount of 10% isopropyl mixture with 60 gallons of a 20% isopropyl solution, and the resulting mixture is 16% isopropyl. How much of the 10% isopropyl did h

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Joseph mixes a certain amount of 10% isopropyl mixture with 60 gallons of a 20% isopropyl solution, and the resulting mixture is 16% isopropyl. How much of the 10% isopropyl did h      Log On

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Question 221397: Joseph mixes a certain amount of 10% isopropyl mixture with 60 gallons of a 20% isopropyl solution, and the resulting mixture is 16% isopropyl. How much of the 10% isopropyl did he add? To earn credit, you MUST construct an algebraic equation with a variable and solve using algebra steps.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = gallons of 10% mixture to be added
given:
Iso in 20% mix = .2%2A60+=+12
Iso in 10% mix = .1x
-------------------------
In words
(iso in 10% mix)+(iso in 20% mix)/(total gallons of mix) = 16%
%2812+%2B+.1x%29%2F%2860+%2B+x%29+=+.16
12+%2B+.1x+=+.16%2A%2860+%2B+x%29
12+%2B+.1x+=+9.6+%2B+.16x
.06x+=+2.4
x+=+40
He must add 40 gallons of the iso mix
check answer
%2812+%2B+.1x%29%2F%2860+%2B+x%29+=+.16
%2812+%2B+.1%2A40%29%2F%2860+%2B+40%29+=+.16
%2812+%2B+4%29%2F100+=+.16
16%2F100+=+.16
.16+=+.16
OK