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

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: How much 60% antifreeze solution and 30% antifreeze solution should be combined to give 55 gallons of 42% antifreeze solution? Thank you!      Log On


   

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) About Me  (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 = 6.6%2F.3, or highlight_green%2822%29 gallons

Amount of 30% solution to be mixed = 55 - 22, or highlight_green%2833%29 gallons