SOLUTION: can you help with this problem: ten gallons of a 30% acid mixture is obtained by mixing a 20% solution with a 50% solution. How much of each must be used? i've tried creating

Question 176462: can you help with this problem:
ten gallons of a 30% acid mixture is obtained by mixing a 20% solution with a 50% solution. How much of each must be used?
i've tried creating two linear equations (one for total volume and one for concentration) but i don't know where to go from there.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
ok lets call the amount of 20% and 50% solutions a and b respectively
:
a+b=10...........eq 1
.2a+.5b=.3(10)...eq 2
:
rewrite eq 1 to a=10-b and plug this value into eq 2
:
.2(10-b)+.5b=3
:
2-.2b+.5b=3
:
.3b=1
:
amount of 50% solution
:
amount of 20% solution

RELATED QUESTIONS
please help me solve this problem, Ten gallons of a 30% acid solution is obtained by... (answered by scott8148)

Ten gallons of 30% acid solution is obtained by mixing a 20% solution with a 50%... (answered by josmiceli)

Forty gallons of a 60% acid solution is obtained by mixing a 75% solution with a 50%... (answered by josgarithmetic)

Four gallons of a 45% acid solution is obtained by mixing a 90% solution with a 30%... (answered by richwmiller,oberobic,mananth)

I require help with this question. -start- Ten liters of 40% acid solution is made by... (answered by ankor@dixie-net.com)

Twenty liters of a 20% acid solution is obtained by mixing 30% acid solution and a 5%... (answered by jorel1380)

10 liters of a 30% acid solution is obtained by mixing 20% solution with a 50% solution. (answered by Theo)

Twelve gallons of a 25% acid solution are obtained by mixing 10% solution with a 50%... (answered by josgarithmetic)

This problem stumped my girlfriend and I please help How many gallons of a 4% acid... (answered by scott8148)