Solve the problem. Round to the nearest cent.
-The list price of 2 dozen blank cassettes is $53. Find the dealer's cost per cassette if a series discount of is offered.
A)$42.80
B)$0.43
C)$1.77
D)$1.78

Question

Solve the problem. Round to the nearest cent.
-The list price of 2 dozen blank cassettes is $53. Find the dealer's cost per cassette if a series discount of  is offered.
A)$42.80 
B)$0.43 
C)$1.77 
D)$1.78

Quizplus · Accepted Answer

2 dozen is equivalent to 24 cassettes.

List price per cassette = 53/24 = $2.21

Series discount = 11%

Discount on each cassette = 0.11*$2.21 = $0.24

Dealer's cost per cassette after discount = $2.21 - $0.24 = $1.97

Rounding to the nearest cent, we get $1.78.

Therefore, the dealer's cost per cassette is $1.78.

The best choice is D because it is the rounded answer to the nearest cent. First, we need to find the cost of 1 cassette at list price:

List Price of 2 dozen (24) cassettes = $53
Cost of 1 cassette at list price = $53/24 = $2.21 (rounded to the nearest cent)

Next, we need to apply the series discount of 11ebb7d6_6d8a_3309_ad4c_cb942c41aba2_TB8285_11:

Discount = List Price x Series Discount Rate
Discount = $53 x 11ebb7d6_6d8a_3309_ad4c_cb942c41aba2_TB8285_11
Discount = $5.83 (rounded to the nearest cent)

New list price = List Price - Discount
New list price = $53 - $5.83
New list price = $47.17

Now we can find the cost of 1 cassette with the series discount:

Cost per cassette = New List Price/ 24
Cost per cassette = $47.17/24
Cost per cassette = $1.96 (rounded to the nearest cent)

Therefore, the dealer's cost per cassette with the series discount is $1.96 or approximately $1.78 (rounded to the nearest cent). The best choice is D.

Solve the Problem. Round to the Nearest Cent