The 200 seventh graders at John Witherspoon Middle School

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

by BTGmoderatorDC » Thu May 02, 2019 11:44 pm

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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

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Source: Beat The GMAT — Problem Solving | Thu May 02, 2019 11:44 pm

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

by deloitte247 » Sun May 05, 2019 4:07 am

Let total cost of trip = n
$$n=0.9\left(n-20\right)+0.3\left(200\right)+18$$
$$n=0.9n-18+60+18$$
$$n-0.9n=60$$
$$\frac{0.1n}{0.1}=\frac{60}{0.1}$$
$$n=600$$
Since school paid 20% of n
Therefore School paid
$$\frac{20}{100}\cdot600=120\ dollar$$

$$answer\ is\ Option\ D$$

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by Scott@TargetTestPrep » Sun May 12, 2019 6:14 pm

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. They were charged: a processing fee of $20, 90% of the remaining n - 20, 200 cookies at $0.3 each. They also paid $18 to the driver; therefore:

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

n = 20 + 0.9n - 18 + 60 + 18

0.1n = 80

n = 800

Since the school paid 20% of the total cost of the trip, the school paid 0.2 x 800 = $160.

Answer: D

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