SOLUTION: A mixture of 10% disinfectant solution is to be made from 11% and 7% disinfectant solutions. How much of each solution should be used if 44 gallons of 10% solution are needed?

Question 418674: A mixture of 10% disinfectant solution is to be made from 11% and 7% disinfectant solutions. How much of each solution should be used if 44 gallons of 10% solution are needed?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 11% solution needed
Let = gallons of 7% solution needed
given:
(1)

(2)
------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since

33 gallons of 11% solution are needed
11 gallons of 7% solution are needed
check answer:

OK
RELATED QUESTIONS
A mixture of 8% disinfectant solution is to be made from 10% and 7% disinfectant... (answered by jim_thompson5910)

A mixture of 4% disinfectant solution is to be made from 7% and 2% disinfectant... (answered by addingup)

A mixture of 9% disinfectant solution is to be made from 12% and 7% disinfectant... (answered by jorel1380)

A mixture of 6% disinfectant solution is to be made from 7% and 3% disinfectant... (answered by Alan3354)

A mixture of 5% disinfectant solution is to be made from 7% and 4% disinfectant... (answered by stanbon)

A mixture of 6% disinfectant solution is to be made from 7% and 4% disinfectant... (answered by richwmiller)

A mixture of 5% disinfectant solution is to be made from 7% and 2% disinfectant... (answered by richwmiller)

A mixture of 6% disinfectant solution is to be made from 7% and 3% disinfectant... (answered by sofiyac,amalm06,ikleyn,MathTherapy,greenestamps)

mixture of 3% disinfectant solution is to be made from 7% and 2% disinfectant solutions.... (answered by josgarithmetic)