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A Coffee Manufacturer Sells a 14-Pound Package That Contains Three {5f5.5h+6s=25f+h+s=14hs=0\left\{ \begin{array} { c l } 5 f - 5.5 h + 6 s & = 25 \\f + h + s & = 14 \\h - s & = 0\end{array} \right.

Question 46

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) {5f5.5h+6s=25f+h+s=14hs=0\left\{ \begin{array} { c l } 5 f - 5.5 h + 6 s & = 25 \\f + h + s & = 14 \\h - s & = 0\end{array} \right.
B) ​ {5f+5.5h+6s=25f+h+s=14hs=0\left\{ \begin{aligned}5 f + 5.5 h + 6 s & = 25 \\f + h + s & = 14 \\h - s & = 0\end{aligned} \right.
C) ​ {5f5.5h+6s=25fh+s=14hs=0\left\{ \begin{array} { c l } 5 f - 5.5 h + 6 s & = 25 \\f - h + s & = 14 \\h - s & = 0\end{array} \right.
D) ​ {5f5.5h+6s=25f+h+s=14h+s=0\left\{ \begin{array} { c l } 5 f - 5.5 h + 6 s & = 25 \\f + h + s & = 14 \\h + s & = 0\end{array} \right.
E) ​ {5f5.5h6s=25fhs=14h+s=0\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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