SOLUTION: A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 85% pure antifreeze. In order to obtain 180 gallons of a mixt

Algebra ->  Equations -> SOLUTION: A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 85% pure antifreeze. In order to obtain 180 gallons of a mixt      Log On


   

Question 1189924: A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 85% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
v of the 85%
180-v of the 55%

highlight_green%2885v%2B55%28180-v%29=75%2A180%29

85v-55v%2B55%2A180=75%2A180
%2885-55%29v=75%2A180-55%2A180
highlight_green%28v=180%28%2875-55%29%2F%2885-55%29%29%29----------simplify or reduce this.

v=180%2820%2F30%29
v=180%282%2F3%29----------this is mostly simplified.
highlight%28v=120%29-------amount of the 85% antifreeze to use.