SOLUTION: Tim was told by his boss to combine all the bleach solutions into one bucket. When he poured all the solutions into the bucket he ended up with 2 gallons of bleach solution. What

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Question 430504: Tim was told by his boss to combine all the bleach solutions into one bucket. When he poured all the solutions into the bucket he ended up with 2 gallons of bleach solution. What is the final concentration of the combined solution given the following information?
Bottle #1: 8 cups of 2% bleach solution.
Bottle #2: 5 cups of 3% bleach solution.
Bottle #3: 10 cups of 1.8% bleach solution.
Bottle #4: 9 cups of 2.5% bleach solution.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Tim was told by his boss to combine all the bleach solutions into one bucket.
When he poured all the solutions into the bucket he ended up with 2 gallons of bleach solution.
What is the final concentration of the combined solution given the following information?
:
Bottle #1: 8 cups of 2% bleach solution.
Bottle #2: 5 cups of 3% bleach solution.
Bottle #3: 10 cups of 1.8% bleach solution.
Bottle #4: 9 cups of 2.5% bleach solution.
----------------------
Total amt:32 cups, which is 2 quarts
:
Let x = the decimal amt of bleach in the resulting mixture.
:
.02(8) + .03(5) + .018(10) + .025(9) = x(32)
.16 + .15 + .18 + .225 = 32x
.715 = 32x
x = .715%2F32
x = .02234 * 100 = 2.234%