SOLUTION: a landscaper needs to mix a 80% pesticide solution with 25 gal of a 20% pesticide solution to obtain a 65% pesticide solution. How many gallons of the 80% solution must he use?

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Question 1093857: a landscaper needs to mix a 80% pesticide solution with 25 gal of a 20% pesticide solution to obtain a 65% pesticide solution. How many gallons of the 80% solution must he use?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a landscaper needs to mix a 80% pesticide solution with 25 gal of a 20% pesticide solution to obtain a 65% pesticide solution.
How many gallons of the 80% solution must he use?
:
let x = amt of 80% stuff required
:
A simple mixture equation in decimal form
.8x + .2(25) = .65(x+25)
.8x + 5 = .65x + 16.25
.80x - .65x = 16.25 - 5
.15x = 11.25
x = 11.25/.15
x = 75 gal of the 80% stuff