2.) Emmanuel is at a sporting goods store. The store
offers a 9% discount on all items. At checkout a 6%
sales tax is added to the discounted price. Select the
two that apply.
A. $25 pants cost $24.12 at checkout
B. $89 cleats cost $76.50 at checkout
C. A $29 basketball costs $37.97 at checkout.
D. $189 glove costs $183.33 at checkout
To find the final price of each item at checkout, we need to apply the discount and then add the sales tax.
Step 1: Apply the discount.
To find the price after the discount, you need to subtract the discount percentage from 100% and then multiply that by the original price.
For example, using option A:
Original price: $25
Discount: 9%
Discounted price: $25 - (9% x $25) = $25 - ($2.25) = $22.75
Using the same formula, we can find the discounted prices for the other options:
Option B: $89 - (9% x $89) = $89 - ($8.01) = $80.99
Option C: $29 - (9% x $29) = $29 - ($2.61) = $26.39
Option D: $189 - (9% x $189) = $189 - ($17.01) = $171.99
Step 2: Add the sales tax.
To find the final price at checkout, you need to add the sales tax to the discounted price. Sales tax is calculated by multiplying the sales tax rate by the discounted price.
For example, using option A:
Discounted price: $22.75
Sales tax rate: 6%
Sales tax: 6% x $22.75 = $1.36
Final price at checkout: $22.75 + $1.36 = $24.11
Using the same process, we can find the final prices for the other options:
Option B: $80.99 + (6% x $80.99) = $80.99 + $4.86 = $85.85
Option C: $26.39 + (6% x $26.39) = $26.39 + $1.58 = $27.97
Option D: $171.99 + (6% x $171.99) = $171.99 + $10.32 = $182.31
After calculating the final prices for each option, we can see that only Options A and D match the given options.
Therefore, the correct answers are A and D.