SOLUTION: How many quarts of pure antifreeze must be added to 11 quarts of a 25% antifreeze solution to obtain a 41% antifreeze solution

Question 908096: How many quarts of pure antifreeze must be added to 11 quarts of a 25% antifreeze solution to obtain a 41% antifreeze solution
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We have 11 qt of 25% antifreeze
We want to add some 100% antifreeze to make 41% antifreeze
1*x+0.25*11=0.41(11+x)
1*x+2.75=4.51+0.41x
1x-0.41x=4.51-2.75
0.59x=1.76
x=2.98305085 qt at 100% (2.98305085) is added to 11 qt at 25%(2.75) to make 41% of 13.9830508 qt(5.73305085)
check
1*2.98305085+0.25*11=0.41(11+2.98305085)
2.98305085+2.75=0.41(13.9830508)
5.73305085=5.73305085
ok

RELATED QUESTIONS
how many quarts of pure antifreeze must be added to 20 quarts of a 25% antifreeze... (answered by josgarithmetic)

how many quarts of pure antifreeze must be added added to 9 quarts of a 40% antifreeze... (answered by galactus)

How many quarts of pure antifreeze must be added to quarts of a antifreeze solution to... (answered by Fombitz)

how many quarts of pure antifreeze must be added to 4 quarts of a 10% antifreeze... (answered by ankor@dixie-net.com)

how many quarts of pure antifreeze must be added to 7 quarts of a 10% antifreeze solution (answered by scott8148)

how many quarts of pure antifreeze must be added to 6 quarts of a 10% antifreeze solution (answered by Fombitz,Earlsdon)

how many quarts of pure antifreeze must be added to 6 quarts of a 20% antifreeze solution (answered by jorel1380)

How many quarts of pure antifreeze must be added to 9 quarts of a 40% antifreeze solution (answered by jorel1380)

how many quarts of pure antifreeze must be added to 2 quarts of a 20% antifreeze solution (answered by mananth)