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 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.
To find out how much Li will have to earn to pay for the skateboarding set, we need to calculate the final cost of the set, including the discount and sales tax.
First, let's calculate the discount on the set. The set is on sale for 30% off, so we can find the discount amount using the following formula:
Discount = 30% * $54.99
Discount = 0.30 * $54.99
Discount = $16.50
Now we can find the sale price of the set after the discount:
Sale Price = Original Price - Discount
Sale Price = $54.99 - $16.50
Sale Price = $38.49
Next, we can calculate the additional discount Li gets with her coupon. The coupon will take an additional 10% off the sale price, so we can find the additional discount using the following formula:
Additional Discount = 10% * $38.49
Additional Discount = 0.10 * $38.49
Additional Discount = $3.85
Now we can find the final price of the set after applying the additional discount:
Final Price = Sale Price - Additional Discount
Final Price = $38.49 - $3.85
Final Price = $34.64
Finally, we need to calculate the sales tax on the final price. The state charges 5.75% sales tax, so we can find the sales tax amount using the following formula:
Sales Tax = 5.75% * $34.64
Sales Tax = 0.0575 * $34.64
Sales Tax = $1.99
Adding the sales tax to the final price gives us the total amount Li will have to earn to pay for the skateboarding set:
Total Amount = Final Price + Sales Tax
Total Amount = $34.64 + $1.99
Total Amount = $36.63
Therefore, Li will have to earn $36.63 to pay for the skateboarding set.
To calculate how much Li will have to earn to pay for the skateboarding set, follow these steps:
1. Calculate the sale price: Apply the 30% discount. To calculate the discount, multiply the original cost ($54.99) by 0.30:
Sale price = $54.99 * 0.30 = $16.50
2. Calculate the final price after the additional 10% discount: Subtract the discount from the sale price. To calculate this, multiply the sale price ($16.50) by 0.10:
Additional discount = $16.50 * 0.10 = $1.65
Final price = Sale price - Additional discount = $16.50 - $1.65 = $14.85
3. Calculate the amount of sales tax: Multiply the final price ($14.85) by the sales tax rate of 5.75%:
Sales tax = $14.85 * 0.0575 = $0.854
4. Calculate the total amount Li will have to pay: Add the final price and the sales tax:
Total amount = Final price + Sales tax = $14.85 + $0.854 = $15.70
Therefore, Li will have to earn $15.70 to pay for the skateboarding set.