SOLUTION: Write a system of two equations in two variables to solve the problem. How much of a 40% antifreeze solution must a mechanic mix with a 70% antifreeze solution if she needs 25 g

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Question 998783: Write a system of two equations in two variables to solve the problem.
How much of a 40% antifreeze solution must a mechanic mix with a 70% antifreeze solution if she needs 25 gallons of a 50% antifreeze solution?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
percent ---------------- quantity
SoLution I 70.00% ---------------- x gal
Solution II 40.00% ------ 25 - x gal
Mixture 50.00% ---------------- 25
25
70.00% x + 40.00% ( 25 - x ) = 50.00% * 25
70 x + 40 ( 25 - x ) = 1250
70 x + 1000 - 40 x = 1250
70 x - 40 x = 1250 - -1000
30 x = 250
/ 30
x = 8.33 gal 70.00% SoLution I
16.67 gal 40.00% Solution II

m.ananth@hotmail.ca