SOLUTION: How many gallons of 100% antifreeze are mixed with a solution of 40% antifreeze, to get a final solution of 4 gallons of 70% antifreeze?

Question 1147753: How many gallons of 100% antifreeze are mixed with a solution of 40% antifreeze, to get a final solution of 4 gallons of 70% antifreeze?
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
duplicate

v liters of the 100%
4-v liters of the 40%

Solve for v. Finish from there.
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

I just solved a TWIN problem under this link

https://www.algebra.com/algebra/homework/word/numbers/Numbers_Word_Problems.faq.question.1147729.html

https://www.algebra.com/algebra/homework/word/numbers/Numbers_Word_Problems.faq.question.1147729.html

The only difference between the two problems is in that the earlier one uses LITERS as unit of volume,
while the given problem uses gallons, instead.

So, the problems not only are similar -------- they are practically IDENTICAL.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

The 70% is exactly halfway between 40% and 100%; the mixture must be half-and-half. The mixture is 4 gallons total; you need 2 gallons of each.
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