SOLUTION: How many pints of pure water must be mixed with 3 pints of 70% acetic acid to produce a mixture that is 20% acetic acid? Thank you so much in advance.

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Question 720057: How many pints of pure water must be mixed with 3 pints of 70% acetic acid to produce a mixture that is 20% acetic acid? Thank you so much in advance.
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p pints of water to add.
highlight%283%2A70%2F%283%2Bp%29=20%29
Find p.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
from view of acid
3*.7=.2(3+x)
2.1=.6+.2x
1.5=.2x
x=7.5 pints
from view of water
1*x+0.3*3=0.8(3+x)
1*x+0.9=2.4+0.8x
1x-0.8x=2.4-0.9
0.2x=1.5
x=7.5 pints
check
1*7.5+0.3*3=0.8(3+7.5)
7.5+0.9=0.8(10.5)
8.4=8.4
ok