SOLUTION: A 20​% solution of fertilizer is to be mixed with a 70​% solution of fertilizer in order to get 50 gallons of a 60​% solution. How many gallons of the 20​% solution and 70â

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Question 1159146: A 20​% solution of fertilizer is to be mixed with a 70​% solution of fertilizer in order to get 50 gallons of a 60​% solution. How many gallons of the 20​% solution and 70​% solution should be​ mixed?
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A 20​% solution of fertilizer is to be mixed with a 70​% solution of fertilizer in order to get 50 gallons of a 60​% solution. How many gallons of the 20​% solution and 70​% solution should be​ mixed?
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t = amount of 20%
s = amount of 70%
---
t + s = 50 --- total solution
20t + 70s = 50*60 --- total fertilizer
etc

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Short, non-algebraic solution....

60% is 4/5 of the way from 20% to 70%.
Therefore, 4/5 of the mixture is the 70% solution.

4/5 of 50 gallons is 40 gallons. So

ANSWER: 40 gallons of the 70% solution, 10 gallons of the 20% solution.