A store marks up the price of a sweater by $7.35. The total cost of the sweater is 25.65. How much does the store pay for the sweater? Define a variable and write an equation to represent the problem

Answer: the store paid $18.3 for the sweater

Step-by-step explanation:

Let x represent the amount that the store paid for the sweater.

A store marks up the price of a sweater by $7.35. This means that the new or current price of the sweater at the store would be

7.35 + x

The total cost of the sweater is 25.65. Therefore, an equation to represent the problem would be

7.35 + x = 25.65

Subtracting 7.35 from the left hand side and the right hand side of the equation, it becomes

7.35 + x - 7.35 = 25.65 - 7.35

x = $18.3