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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Definitions:

Food Behavior

The habits and practices associated with food consumption.

Taste Preferences

Individual differences in the liking or disliking of specific flavors and foods, often influenced by genetic, cultural, and environmental factors.

Psychological

Pertaining to the mind or mental processes and how they affect behavior and well-being.

Stress

A physical or psychological response to internal or external pressures, which can affect mental and physical health.