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 essay
To find out how much the skateboarding set will cost after the discount, we need to first calculate the sale price.
The set is on sale for 30% off, so we can find the sale price by subtracting 30% of the original price from the original price:
Sale price = $54.99 - 30% of $54.99
= $54.99 - (30/100) * $54.99
= $54.99 - (0.3) * $54.99
= $54.99 - $16.50
= $38.49
Next, we need to find the total price after applying the additional 10% discount. We can do this by subtracting 10% of the sale price from the sale price:
Total price = Sale price - 10% of Sale price
= $38.49 - (10/100) * $38.49
= $38.49 - (0.1) * $38.49
= $38.49 - $3.85
= $34.64
Now, we need to calculate the amount of sales tax on the total price. We can do this by multiplying the total price by the sales tax rate:
Sales tax = 5.75% of total price
= (5.75/100) * $34.64
= $1.99
Finally, to find out how much Li will have to earn to pay for the skateboarding set, we need to add the total price and the sales tax together:
Total cost = Total price + Sales tax
= $34.64 + $1.99
= $36.63
Therefore, Li will have to earn $36.63 to pay for the skateboarding set.