I am trying to work this problem and need help. Mary bought 2 pairs of identical jeans at a sale. She paid regular price for the first pair and paid half price for the second pair. If the total cost was $45.00,what was the regular price of the jeans? 2x - 1/2x =45.
2x - 1/2x =45
1.5x = 45
x = 45/1.5
x = 30
To solve the problem, let's break it down step by step:
1. Let's assume the regular price of the jeans is represented by the variable "x".
2. Mary bought 2 pairs of identical jeans. Since she paid regular price for the first pair and half price for the second pair, the cost of the first pair is "x" and the cost of the second pair is "(1/2)x".
3. To find the total cost, we need to add the cost of the first pair to the cost of the second pair. So the equation becomes: x + (1/2)x = 45.
4. Combine the like terms: (2/2)x + (1/2)x = 45. This simplifies to: (3/2)x = 45.
5. To isolate the variable "x", we need to multiply both sides of the equation by the reciprocal of the coefficient of "x". In this case, the coefficient is (3/2), so we multiply by (2/3): (2/3) * (3/2)x = (2/3) * 45.
6. The (2/2) and (3/3) will cancel out, leaving us with: x = 30.
Therefore, the regular price of the jeans is $30.