How Many Pounds of Peanuts Selling for $5 Per Pound $\left\{ \begin{array} { l } x + y = 40 \\5 x + 8 y = 40\end{array} \right.$

question 213

Multiple Choice

How many pounds of peanuts selling for $5 per pound should be mixed with cashews selling for $8 per pound to obtain 40 pounds of mixed nuts selling for $7 per pound? Write a system of two equations in two unknowns that would model the situation. Let x = number of pounds of peanuts and y = number of pounds of cashews.

• A) \(\left\{ \begin{array} { l }
• x + y = 40 \\
• 5 x + 8 y = 40
• \end{array} \right.\)
• B) \(\left\{ \begin{array} { l }
• x + y = 40 \\
• 5 x + 8 y = 280
• \end{array} \right.\)
• C) \(\left\{ \begin{array} { l }
• x + y = 280 \\
• 5 x + 8 y = 40
• \end{array} \right.\)
• D) \(\left\{ \begin{array} { l }
• x + 40 = y \\
• 5 x + 8 y = 280
• \end{array} \right.\)

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