Forty-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 required ? percent of acid in 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.) (c) How much of each solution is required to obtain the specified concentration of the final mixture? 25% solution ? 50% solution ?
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Forty-five liters of a 40% acid solution is obtained by mixing a 25% solution with a 50% solution.
| amount of final mixture required |
?
|
| percent of acid in the final mixture required |
?
|
(c) How much of each solution is required to obtain the specified concentration of the final mixture?
| 25% solution | ? |
| 50% solution | ? |
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