Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
25 Dec 2024, 13:02
Kudos
Bookmarks
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
100% (02:19) correct
0% (00:00) wrong based on 2 sessions
History
Date
Time
Result
Not Attempted Yet
Twenty children were sharing equally the cost of a present for their teacher. When 4 of the children decided not to contribute, each of the other children had to pay $1.50 more. How much did the present cost, in dollars?
A. 50
B. 80
C. 100
D. 120
E. 150
A. 50
B. 80
C. 100
D. 120
E. 150
27 Dec 2024, 09:42
Kudos
Bookmarks
OE
Let x be the amount in dollars that each of the 20 children were going to contribute; then 20x represents the cost of the present. When 4 children dropped out, the remaining 16 each had to pay (x + 1.50) dollars. So, 16(x + 1.5) = 20x ⇒ 16x + 24 = 20x ⇒ 24 = 4x ⇒ x = 6, and so the cost of the present was 20 × 6 = 120 dollars. Alternative Solution. Since each of the 16 remaining children had to pay an extra $1.50, the extra payments totaled 16 × $1.50 = $24. This is the amount that would have been paid by the 4 children who dropped out, so each of the 4 would have paid $6. The cost of the gift was 20 × $6 = $120.
Let x be the amount in dollars that each of the 20 children were going to contribute; then 20x represents the cost of the present. When 4 children dropped out, the remaining 16 each had to pay (x + 1.50) dollars. So, 16(x + 1.5) = 20x ⇒ 16x + 24 = 20x ⇒ 24 = 4x ⇒ x = 6, and so the cost of the present was 20 × 6 = 120 dollars. Alternative Solution. Since each of the 16 remaining children had to pay an extra $1.50, the extra payments totaled 16 × $1.50 = $24. This is the amount that would have been paid by the 4 children who dropped out, so each of the 4 would have paid $6. The cost of the gift was 20 × $6 = $120.
