SOLUTION: Thirty-five liters of a 40% acid solution is obtained by mixing a 25% solution with a 50% solution. a.) Write a system of equations in which one equation represents the amount of

Question 357554: Thirty-five liters of a 40% acid solution is obtained by mixing a 25% solution with a 50% solution.
a.) Write a system of equations in which one equation represents the amount of final mixture required and the other represents the percent of acid in the final mixture. Let x and y represent the amounts of the 25% and 50% solutions, respectively.
amount of final mixture =? percent of acid in the final mixture=?
b.) As the amount of the 25% solution increases, how does the amount of the 50% solution change? (multiple choice)
-As the amount of 25% solution increases, the amount of 50% solution decreases.
-As the amount of 25% solution increases, the amount of 50% solution increases.
-As the amount of 25% solution increases, the amount of 50% solution stays the same.
-There is not enough information given.
-As the amount of 25% solution increases, the amount of 50% solution fluctuates.
c.) How much of each solution is required to obtain the specified concentration of the final mixture?
25% solution= ? L
50% solution= ? L
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Thirty-five liters of a 40% acid solution is obtained by mixing a 25% solution with a 50% solution.
-----------------------------
x = amount of 25%
0.25x + 0.5*(35-x) = 0.4*35
You can do the rest.

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