Li wants to buy a skateboarding helmet and pads. She sees a set she likes at a sporting goods store. The set costs $54.99. It is on sale for 30% off. Li has a coupon that will take an additional 10% off the sale price. She lives in a state that charges 5.75% sales tax. How much will Li have to earn to pay for the skateboarding set? Show your work.

1 answer

To find the sale price, we need to multiply the original price by 1 minus the discount percentage: $54.99 * (1 - 30%) = $54.99 * (1 - 0.3) = $54.99 * 0.7 = $38.49
Next, we need to find the price after the additional 10% coupon discount: $38.49 * (1 - 10%) = $38.49 * (1 - 0.1) = $38.49 * 0.9 = $34.64
Now we need to calculate the amount of sales tax: $34.64 * 5.75% = $34.64 * 0.0575 = $1.99
Finally, we add the sales tax to the price after all discounts: $34.64 + $1.99 = $36.63
Therefore, Li will have to earn $36.63 to pay for the skateboarding set.