SOLUTION: How much 60% antifreeze solution and 30% antifreeze solution should be combined to give 55 gallons of 42% antifreeze solution? Thank you!

Question 993419: How much 60% antifreeze solution and 30% antifreeze solution should be combined to give 55 gallons of 42% antifreeze solution? Thank you!
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

How much 60% antifreeze solution and 30% antifreeze solution should be combined to give 55 gallons of 42% antifreeze solution? Thank you!

Let the amount of 60% solution to mix, be S

Then the amount of 30% solution to be mixed = 55 - S

The following antifreeze-solution equation is thus formed:

.6S + .3(55 - S) = .42(55)

.6S + 16.5 - .3S = 23.1

.6S - .3S = 23.1 - 16.5

.3S = 6.6

S, or amount of 60% solution to mix = , or  gallons

Amount of 30% solution to be mixed = 55 - 22, or  gallons 

RELATED QUESTIONS

How much 60% antifreeze solution and 54% antifreeze solution should be combined to give... (answered by nerdybill)
how much 50% antifreeze solution and 30% antifreeze solution should be combined to give... (answered by josgarithmetic)
How much 58% antifreeze solution and 45% antifreeze solution should be combined to give... (answered by jorel1380)
How much 50% antifreeze solution and 40% antifreeze solution should be combined to give... (answered by stanbon,ikleyn)
How much 50% antifreeze solution and 40% antifreeze solution should be combined to give... (answered by josgarithmetic,greenestamps)
how many gallons of 30% antifreeze solution and 60% antifreeze solution must be mixed to... (answered by richwmiller)
 how much 50% antifreeze solution and 40% antifreeze solution should be mixed to obtain... (answered by fractalier)
how much antifeeze should be added to 300 gallons of 30% antifreeze solution to raise the  (answered by ptaylor)
How much pure antifreeze should be added to 300 gallons of 30 percent antifreeze solution  (answered by stanbon,funmath)