Question 990543
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T=amount of 23% solution; S=amount of 17% solution
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T+S=45 gallons
S=45 gallons-T
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0.23T+0.17S=0.20(45 gallons)
0.23T+0.17(45gal-T)=9gal
0.23T+7.65gal-0.17T=9gal
0.06T=1.35gal
T=22.5 gallons
ANSWER 1: 22.5 gallons of 23% solution should be added.
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S=45gal-T=45gal-22.5gal=22.5gal
ANSWER 2: 22.5 gallons of 17% solution should be added.
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CHECK:
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0.23T+0.17S=0.20(45 gallons)
0.23(22.5gal)+0.17(22.5gal)=0.20(45gal)
5.175gal+3.825gal=9gal
9gal=9gal