Thirty liters of a 40% acid solution are obtained by mixing a 25% solution with a 50%

Chapter 8, Problem 80

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Chemistry   Thirty liters of a 40% acid solution are 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.

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

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

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

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