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

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) (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

RELATED QUESTIONS
How many pints of a 5% antifreeze solution and how many pints of a 20% antifreeze... (answered by alicealc)

"The radiator in your car contains 4 gallons of antifreeze and water. The mixture is 45%... (answered by josmiceli)

A service station wishes to mix 40 L of a 78% antifreeze solution. How many litres of a... (answered by checkley71)

Please help me solve this problem: How much pure antifreeze must must be added to 12L of... (answered by venugopalramana)

Use given information to write a system of equations; then, solve the system. Be sure to... (answered by edjones)

Use two equations in two variables to solve the application. See Example 6. (Objective 1) (answered by josgarithmetic)

You must show two equations you need to write as well as all steps to solve the problem. (answered by Alan3354)

How much pure antifreeze must be added to 12 gallons of 10% antifreeze to make a 40%... (answered by Boreal,MathTherapy,ikleyn)

Write a system of two linear equations with infinitely many solutions for the following. (answered by checkley71)