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Nadia buys boxes of crackers that each has the same cost c. She represents the cost of 6 boxes of cheese crackers, 5 boxes of poppys seed crackers, and 5 boxes of plain crackers using the expression 6c + 5c + 5c. What equivalent expression can represent the cost.

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To Find :-

  • The equivalent expression that represents the cost .

Solution :-

Here according to the question ,

[tex]\longrightarrow Cost \ of \ each \ crackers \ = \ c [/tex]

And , she purchases ,

[tex]\longrightarrow \textit{ boxes of cheese crackers = 6 } \\\\\longrightarrow\textit{ boxes of poppy's seed crackers = 5 }\\\\\longrightarrow \textit{ boxes of plain crackers = 5 } [/tex]

And she represents cost by ,

[tex]\longrightarrow Cost = 6c + 5c + 5c [/tex]

To find equivalent , take out c as common ,

[tex]\longrightarrow Cost = c (6+5+5)[/tex]

Add the constant terms inside the brackets ,

[tex]\longrightarrow Cost = c \times 16 [/tex]

Multiply ,

[tex]\longrightarrow \underline{\underline{Cost = 16c }}[/tex]

Hence the equivalent expression is 16c .

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