Question

kirana buys boxes of crackers that each have the same cost, c. she represents the cost of 3 boxes of cheese crackers, 2 boxes of poppy seed crackers, and 2 boxes of plain crackers using the expression 3c + 2c + 2c. what equivalent expression can represent the cost?

Explanation:

Step1: Combine like terms

The expression is \(3c + 2c + 2c\). Since all terms have the same variable \(c\), we can add their coefficients. The coefficients are 3, 2, and 2.

Step2: Calculate the sum of coefficients

Adding the coefficients: \(3 + 2 + 2 = 7\).

Step3: Write the equivalent expression

So, \(3c + 2c + 2c=(3 + 2 + 2)c = 7c\).

Answer:

\(7c\)