SOLUTION: Most mosquito repellents contain the ingredient deet. A manufacturer needs to produce 10-ounce spray cans of 40% deet. How much 100% deet and how much 25% deet should be mixed to p

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Most mosquito repellents contain the ingredient deet. A manufacturer needs to produce 10-ounce spray cans of 40% deet. How much 100% deet and how much 25% deet should be mixed to p      Log On


   

Question 17104: Most mosquito repellents contain the ingredient deet. A manufacturer needs to produce 10-ounce spray cans of 40% deet. How much 100% deet and how much 25% deet should be mixed to produce each of these spray cans?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of ounces of 100% deet. The rest of the 10 ounces, or
10-x = number of ounces of 25% deet.

This results in a total of
10 ounces of 40% deet.

1.00(x) + .25(10-x) = .40(10)
1.00x + 2.5 - .25x = 4.0
.75x + 2.5 = 4.0
.75x = 1.5
x= 1.5/.75 = 150/75 = 2 ounces of 100% deet
10-x = 8 ounces of 40% deet

Check:
1.00(2) + .25(8) = .40(10)
2 + 2= 4
It checks!

R^2 at SCC