Question

Nezzie is shopping for items for her daycare because the store is having a sale where everything in the store is 10% off. Nezzie buys a playhouse for $100.29 and a music center for $59.99. She has a coupon for an additional 15% off on the playhouse. Before tax, Nezzie estimates that her total, after discounts, will be about $122. Determine if Nezzie has estimated correctly. a. Yes. Nezzie has estimated correctly. b. No. Nezzie has taken 25% off from the music center, which is not correct. c. No. Nezzie has taken successive discounts on the total, but the coupon is just on the playhouse. d. No. Nezzie has estimated 10% off the original price of the playhouse not the discounted price.

Answer 1

The final price would be $130.71 Which means she was off by a lot. So C would be the answer.

Answer 2

No. Nezzie has taken successive discounts on the total, but the coupon is just on the playhouse.

Explanation:

Nezzie buys a playhouse for $100.29 and a music center for $59.99.

After 10% off on playhouse, its price is =
`100.29-(0.10*100.29)` =$90.26

After 10% off on music center, its price is =
`59.99-(0.10*59.99)` =$53.99

She has a coupon for an additional 15% off on the playhouse. Means after the coupon, the price of the playhouse will be :

`90.26-(0.15*90.26)`

= $76.72

Nezzie estimates that her total, after discounts, will be about $122.

Her total in actual is =
`53.99+76.72=130.71` dollars

So, Nezzie did nor estimate correctly.

The correct option is -

No. Nezzie has taken successive discounts on the total, but the coupon is just on the playhouse.

Means first she subtracted 10% from the total amount (100.29+59.99) and then she subtracted 15% from it.

Total = 160.28

10% off =
`160.28-16.028=144.25`

15% off =
`144.25-(0.15*144.25)`=$122.6