A Coffee Manufacturer Sells a 14-Pound Package That Contains Three $\left\{ \begin{array} { c l } 5 f - 5.5 h + 6 s & = 25 \\f + h + s & = 14 \\h - s & = 0\end{array} \right.$

question 88

Multiple Choice

A coffee manufacturer sells a 14-pound package that contains three flavors of coffee for $25.French vanilla coffee costs $5 per pound, hazelnut flavored coffee costs $5.50 per pound, and Swiss chocolate flavored coffee costs $6 per pound.The package contains the same amount of hazelnut as Swiss chocolate.Let f represent the number of pounds of French vanilla, h represent the number of pounds of hazelnut, and s represent the number of pounds of Swiss chocolate.
Write a system of linear equations that represents the situation.

• A) \(\left\{ \begin{array} { c l }
• 5 f - 5.5 h + 6 s & = 25 \\
• f + h + s & = 14 \\
• h - s & = 0
• \end{array} \right.\)
• B) \(\left\{ \begin{aligned}
• 5 f + 5.5 h + 6 s & = 25 \\
• f + h + s & = 14 \\
• h - s & = 0
• \end{aligned} \right.\)
• C) \(\left\{ \begin{array} { c l }
• 5 f - 5.5 h + 6 s & = 25 \\
• f - h + s & = 14 \\
• h - s & = 0
• \end{array} \right.\)
• D) \(\left\{ \begin{array} { c l }
• 5 f - 5.5 h + 6 s & = 25 \\
• f + h + s & = 14 \\
• h + s & = 0
• \end{array} \right.\)
• E) \(\left\{ \begin{array} { c l }
• 5 f - 5.5 h - 6 s & = 25 \\
• f - h - s & = 14 \\
• h + s & = 0
• \end{array} \right.\)

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