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 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) \[\left\{ \begin{array} { c l }
• 5 f - 5.5 h + 6 s & = 25 \\
• f + h + s & = 14 \\
• h - s & = 0
• \end{array} \right.\] ​
• 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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Definitions:

Embodied Attitudes

The concept that attitudes and opinions are reflected through one's physical actions and postures, suggesting a deep interconnection between body and mind.

Mere Exposure Effect

A psychological phenomenon where repeated exposure to a stimulus increases a person’s preference for it.

Attitudes

A person's enduring positive or negative evaluation of an object, person, event, or idea.

Attitude Polarization

The phenomenon when a disagreement becomes more extreme as the differing parties consider evidence for their perspectives.