The 200 seventh graders at John Witherspoon Middle School ra

Expert replies

Previous Topic Next Topic

BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Thu Dec 13, 2018 9:54 pm

Timer

00:00

Your answer

Difficulty–

right wrong

Pick an answer to see how members did

The 200 seventh graders at John Witherspoon Middle School raised 80% of the funds needed for a field trip. The school donated the remaining 20%. When they went to purchase the tickets, however, they were given a 10% bulk rate discount after a $20 processing fee. Faced with an unexpected surplus the students chose to buy each member of the class one cookie and were still left with $18, which they gave to the bus driver. If each of the cookies cost $0.30, how much did the trip cost the school?

A. $40
B. $80
C. $120
D. $160
E. $200

OA D

Source: Princeton Review

Source: Beat The GMAT — Problem Solving | Thu Dec 13, 2018 9:54 pm

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

by deloitte247 » Sun Dec 16, 2018 12:18 pm

Cost of Trip = T
Unexpected discount at 20 dollar processing fee $$=\ 10\%\ of\ \ \left(T-20\right)$$
Total student = 200
Cost per cookie = 0.1 dollar
Driver's fee = 18 dollar
Surplus = (200*0.3) +18 = 60 +18 = 78 dollars
$$10\%\ of\ \left(T-20\right)=78\ dollar$$
$$\frac{10}{100}\left(T-20\right)=78$$
$$\frac{\left(T-20\right)}{10}=78$$
$$T=780+20$$
$$T=800$$
$$School\ paid\ 20\%\ of\ \cos t\ of\ trip\ \left(T\right)\ \frac{20}{100}\cdot800=160dollars$$
$$answer\ is\ Option\ D$$

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Thu Mar 14, 2019 6:04 am

BTGmoderatorDC wrote:The 200 seventh graders at John Witherspoon Middle School raised 80% of the funds needed for a field trip. The school donated the remaining 20%. When they went to purchase the tickets, however, they were given a 10% bulk rate discount after a $20 processing fee. Faced with an unexpected surplus the students chose to buy each member of the class one cookie and were still left with $18, which they gave to the bus driver. If each of the cookies cost $0.30, how much did the trip cost the school?

A. $40
B. $80
C. $120
D. $160
E. $200

OA D

Source: Princeton Review

We can let n = the total cost of trip.

n = 0.9(n - 20) + 0.3(200) + 18

n = 0.9n - 18 + 60 + 18

0.1n = 60

n = 600

Since the school paid 20% of the total cost of the trip, the school paid 0.2 x 600 = $120.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Featured schoolRound 2 closes Jan 7, 2027 53 days left

Chicago Booth

Since 1982, 10 Booth faculty members have received the Nobel Prize in Economic Sciences, more than any other business school.

#3
U.S. News rank: $175,000
Median base salary: 670
Average GMAT Focus: 635
Students in the class

Apply to Booth Visit chicagobooth.edu See the full profile

Photo: Warren LeMay, CC BY-SA 2.0

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review