Jonathan bought a Gucci belt in Chinatown for $35.00. The belt was on sale for ⅓ off the regular price. Then, an additional 8% will be taken off because Jonathan had a coupon. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.

Respuesta :

Answer:

The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount Jonathan paid for the belt = $ 35

Discount = 1/3 off the regular price

Coupon = additional 8% = 0.08

2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.

We assume the question is asking for the original price of the belt, then we make this calculation:

Amount Jonathan paid for the belt = (Original price - Discount) - Coupon

Replacing with the values we know:

Original price = x

35 = (x - 1/3x) - 0.08x

35 = 2/3x - 0.08x

35 = 0.67x - 0.08x

35 = 0.59x

x = 35/0.59

x = 59.32

The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.