Henrietta has $120 to buy a new bicycle. She finds the bike that she wants to buy on sale for 20% off the regular price of $150. If there is 6% sales tax, which of the following best describes the amount of money Henrietta has with regards to buying the bike.

Question

a.
Henrietta has enough before the tax, but not enough after the tax.
b.
Henrietta has enough money even after the tax.
c.
Henrietta does not have enough money even before the tax.
d.
There is not enough information given.

Answer 1

Let's break down the problem step by step to determine which option describes the amount of money Henrietta has in relation to the bicycle purchase.

1. Calculate the sale price of the bike:

   • The regular price of the bike is $150.
   • The discount is 20% of $150.
   • 20% of $150 = 0.20 × 150 = $30.
   • Sale price = Regular price - Discount = $150 - $30 = $120.

2. Calculate the sales tax on the sale price:

   • Sales tax is 6% of the sale price ($120).
   • 6% of $120 = 0.06 × 120 = $7.20.

3. Calculate the total cost of the bike including tax:

   • Total cost = Sale price + Sales tax = $120 + $7.20 = $127.20.

4. Compare with the amount Henrietta has:

   • Henrietta has $120.
   • The total cost of the bike including tax is $127.20.

From these calculations, we can conclude:

• Henrietta does not have enough money even before the tax.

Thus, the correct choice is: c. Henrietta does not have enough money even before the tax.