SOLUTION: How much of a 40% antifreeze solution must a mechanic mix with an 80% antifreeze solution if 24 gallons of a 50% antifreeze solution are needed? 40% antifreeze solution g

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Question 1164465: How much of a 40% antifreeze solution must a mechanic mix with an 80% antifreeze solution if 24 gallons of a 50% antifreeze solution are needed?
40% antifreeze solution
gal____
80% antifreeze solution
gal_____
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
That is a quarter of the way from 40 to 80. Does that tell you something?

18 gallons of the 40%, and 6 gallons of the 80%.




--------------USING SOME ALGEBRA---------------
v gallons of the 80% to use
24-v gallons of the 40% to use
Accounting for pure antifreeze material, 40%2824-v%29%2B80v=50%2A24
-
4%2824-v%29%2B8v=5%2A24
24-v%2B2v=5%2A6
v%2B24=30
highlight_green%28v=6%29----------six gallons of the 80% antifreeze,...