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

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Equation for solution volume:
x + y = 50

Equation for solution concentration: 20 is 0.4(50 L)
0.25x + 0.5y = 20
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20 liters of 25% solution was mixed with 30 liters of 50% solution to form 50 liters of 40% solution.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x and y represent the amounts of the 25% and 50% solutions, respectively.

Fifty liters of a 40% acid solution is obtained by mixing a 25% solution with a 50% solution. Hence:

x + y = 50   (1)

Also:

0.25x + 0.5y = 0.4(50)     (2)

Hence:

x = 20, y = 30

20 liters of 25% solution was mixed with 30 liters of 50% solution to form 50 liters of 40% solution.

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