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.
To calculate how much Li will have to earn to pay for the skateboarding set, we need to go step by step:
1. Calculate the sale price: 30% off of $54.99 = $54.99 * 0.30 = $16.50 off.
So the sale price is $54.99 - $16.50 = $38.49.
2. Calculate the additional discount after using the coupon: 10% off of $38.49 = $38.49 * 0.10 = $3.85 off.
So the final price before sales tax is $38.49 - $3.85 = $34.64.
3. Calculate the sales tax: $34.64 * 0.0575 = $1.99.
4. Add the sales tax to the final price: $34.64 + $1.99 = $36.63.
Therefore, Li will have to earn $36.63 to pay for the skateboarding set.