a pair of $90 shoes goes on sale for 35% off and then goes on clearance rack for an additinal 10% off. A customer walks in with a 20% off coupon and uses it to buy the shoes. How much did the customer pay for the shoes? and the price paid was what percent of the original price.
The percent paid is just (0.65)(0.90)(0.80) = .468 = 46.8%
So, the price paid is .468 * 90
To calculate how much the customer paid for the shoes, we need to follow these steps:
Step 1: Calculate the discount when the shoes go on sale for 35% off:
Multiply the original price ($90) by 35% (0.35) to find the discount amount: $90 x 0.35 = $31.50.
Subtract the discount amount from the original price to get the sale price: $90 - $31.50 = $58.50.
Step 2: Calculate the discount when the shoes go on clearance rack for an additional 10% off:
Multiply the sale price ($58.50) by 10% (0.10) to find the discount amount: $58.50 x 0.10 = $5.85.
Subtract the discount amount from the sale price to get the final price: $58.50 - $5.85 = $52.65.
Step 3: Calculate the discount when the customer uses a 20% off coupon:
Multiply the final price ($52.65) by 20% (0.20) to find the discount amount: $52.65 x 0.20 = $10.53.
Subtract the discount amount from the final price to get the amount the customer paid: $52.65 - $10.53 = $42.12.
Therefore, the customer paid $42.12 for the shoes.
To calculate the price paid as a percentage of the original price, we need to divide the amount paid ($42.12) by the original price ($90) and then multiply by 100:
($42.12 / $90) x 100 ≈ 46.8%.
So, the customer paid approximately 46.8% of the original price for the shoes.