Question

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.

Answer 1

To Find :-

• The equivalent expression that represents the cost .

Solution :-

Here according to the question ,

`\longrightarrow Cost \ of \ each \ crackers \ = \ c`

And , she purchases ,

`\longrightarrow \textit{ boxes of cheese crackers = 6 } \\\\\longrightarrow\textit{ boxes of poppy's seed crackers = 5 }\\\\\longrightarrow \textit{ boxes of plain crackers = 5 }`

And she represents cost by ,

`\longrightarrow Cost = 6c + 5c + 5c`

To find equivalent , take out c as common ,

`\longrightarrow Cost = c (6+5+5)`

Add the constant terms inside the brackets ,

`\longrightarrow Cost = c * 16`

Multiply ,

`\longrightarrow \underline{\underline{Cost = 16c }}`

Hence the equivalent expression is 16c .