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Fourty Liters of a 40% Acid Solution Is Obtained by Mixing

Question 15

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Fourty liters of a 40% acid solution is obtained by mixing a 28% solution with a 50% solution.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 28% and 50% solutions,respectively. ​


A) ​ {x+y=400.28x+0.5y=40\left\{ \begin{array} { l } x + y = 40 \\0.28 x + 0.5 y = 40\end{array} \right.
B) ​ {0.28x+0.5y=40x+y=16\left\{ \begin{array} { l } 0.28 x + 0.5 y = 40 \\x + y = 16\end{array} \right.
C) {x+y=400.28x+0.5y=16\left\{ \begin{array} { l } x + y = 40 \\0.28 x + 0.5 y = 16\end{array} \right.
D) ​ {x+y=400.28x+0.5y=16\left\{ \begin{array} { l } x + y = 40 \\0.28 x + 0.5 y = 16\end{array} \right.
E) ​ {0.28x+0.5y=40x+y=16\left\{ \begin{array} { l } 0.28 x + 0.5 y = 40 \\x + y = 16\end{array} \right.

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