Missy bought a skateboard for $49.50 with a discount of 15% and a helmet for $37.60. The sales tax on both items was 6%. If she paid with a $100 bill, how much change will she get back from the cashier?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the statement:
Missy bought a skateboard for $49.50 with a discount of 15% and a helmet for $37.60.
The sales tax on both items was 6%
Determine her change if she paid $100.
Solution:
We must first convert all percentage into decimals. In converting a percentage into decimal, divide the percentage by 100, hence in converting a decimal to percentage, multiply the percentage by 100
Discount
= 15/100
= 0.15
Sales tax rate
=6/100
=0.06
Now we solve the price of the skateboard with 15% discount, we can do this by multiplying 0.15 to the original price, then subtract the product to the original price.
=(0.15)($49.50)
= $7.425
= $49.5 -$ 7.425
=$42.075
Now we add the discounted price of the skateboard to the total price of the helmet in order to determine the cost of the two items.
=$42.075 + $37.60
Total price of the item= $79.675
Next step is to add the sales tax price by multiplying 0.06 with 79.675 and adding the product to the total price.
= ($79.675)(0.06)
=$4.78
Total cost with tax = $79.675 + $4.78
Total cost with tax = $84.46
Now to determine the change we subtract the total cost with $100
= $100 -$84.46
=$15.54
Final answer:
Missy received $15.54 from the cashier.