Question

Fifty 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 xand y represent the amounts of the 25% and 50% solutions, respectively.

amount of final mixture required ______________________

percent of acid int the final mixture required________________________

(b) Use a graphing utility to graph the two equations in part (a) in the same viewing window. (A graphing calculator is recommended.)

As the amount of the 25% solution increases, how does the amount of the 50% solution change?

_____There is not enough information given.

_____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 fluctuates.

_____As the amount of 25% solution increases, the amount of 50% solution stays the same.

(c) How much of each solution is required to obtain the specified concentration of the final mixture?

25% Solution_____________________________

50% Solution_____________________________

Answer 1