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

question 207

Multiple Choice

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

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Definitions:

Price

The sum of currency anticipated, required, or given in transaction for something.

Demand

The desire and ability of consumers to purchase goods and services at various prices.

Law of Demand

States that, all other factors being equal, as the price of a good increases, demand for that good decreases, and vice versa.

Quantity Demanded

The amount of a good or service that consumers are willing and able to purchase at a specific price.