Carcass wrote:
Abby, Brandon, Cedric, and Deirdre are planning to attend a concert. If their friend Kim also goes with them, they will get a group discount on their tickets. If the total price of the tickets with the group discount is the same as the total price of the tickets without the group discount, how much is the discount?
A. 5%
B. 10%
C. 20%
D. 25%
E. 33%
Kudos for the right answer and explanation
One approach is to ASSIGN SOME "NICE" VALUES
Let's say the price per ticket = $1
So, the TOTAL cost (i.e., without a discount) for Abby, Brandon, Cedric, and Deirdre will be
$4The total price of the tickets with the group discount is the same as the total price of the tickets without the group discountWhen Kim comes too, the TOTAL discounted price will be
$4Of course, if tickets are $1 each, then the TOTAL cost (without discount) for the five people SHOULD be
$5So, what's the discount (expressed as a percent)?
The discount = (100)(
5 -
4)/
5= 100/5
= 20%
Answer: C