Math

Question Find the total cost of 5 boxes of cheese crackers, 6 boxes of poppy seed crackers, and 4 boxes of plain crackers, where each box costs yy.
A. (5+6+4)y(5+6+4)y B. 564y5 \cdot 6 \cdot 4 \cdot y C. 17y17y D. 15y15y

Studdy Solution

STEP 1

Assumptions
1. The cost of each box of crackers is represented by the variable yy.
2. Jin buys 5 boxes of cheese crackers, 6 boxes of poppy seed crackers, and 4 boxes of plain crackers.
3. The total cost is represented by the expression 5y+6y+4y5y + 6y + 4y.

STEP 2

To find an equivalent expression for the total cost, we need to combine like terms. Like terms are terms that have the same variable raised to the same power.

STEP 3

Identify the like terms in the expression 5y+6y+4y5y + 6y + 4y. Here, all terms are like terms because they all have the variable yy raised to the first power.

STEP 4

Combine the coefficients of the like terms by adding them together.
5+6+45 + 6 + 4

STEP 5

Calculate the sum of the coefficients.
5+6+4=155 + 6 + 4 = 15

STEP 6

Now that we have the sum of the coefficients, we can write the equivalent expression by multiplying this sum by the variable yy.
15y15y

STEP 7

Compare the equivalent expression 15y15y to the answer choices given in the problem.
The correct answer is D. 15y15y.

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