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The 200 seventh graders at John Witherspoon Middle School raised 80%

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The 200 seventh graders at John Witherspoon Middle School raised 80%  [#permalink]

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New post 31 Oct 2018, 01:39
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A
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C
D
E

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  75% (hard)

Question Stats:

58% (03:21) correct 42% (03:19) wrong based on 65 sessions

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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

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The 200 seventh graders at John Witherspoon Middle School raised 80%  [#permalink]

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New post 03 Nov 2018, 02:10
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Let the Cost of the tickets be = T

The total amount spent on tickets is =>T-(T-20)*10% = T - (T/10 - 2) = T - T/10 + 2 = 9T/10 + 2

They used the surplus to buy cookies and pay the driver = 0.3*200+$18 = $78

9T/10+2+78=9T+800=10T => Total cost of the trip= 800

The School Paid 20% of the trip cost = 800*20% = 160

Hence D
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Re: The 200 seventh graders at John Witherspoon Middle School raised 80%  [#permalink]

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New post 03 Nov 2018, 09:44
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AvidDreamer09 wrote:
Let the Cost of the tickets be = T

The total amount spent on tickets is =>T-(T-20)*10% = T - (T/10 - 2) = T - T/10 + 2 = 9T/10 + 2

They used the surplus to buy cookies and pay the driver = 0.3*200+$18 = $78

9T/10+2+78=9T+800=10T => Total cost of the trip= 800

The School Paid 20% of the trip cost = 800*20% = 160

Hence D
AvidDreamer09 wrote:
Let the Cost of the tickets be = T

The total amount spent on tickets is =>T-(T-20)*10% = T - (T/10 - 2) = T - T/10 + 2 = 9T/10 + 2

They used the surplus to buy cookies and pay the driver = 0.3*200+$18 = $78

9T/10+2+78=9T+800=10T => Total cost of the trip= 800

The School Paid 20% of the trip cost = 800*20% = 160

Hence D


can you please elaborate on equation


9T/10+2+78=9T+800=10T => Total cost of the trip= 800
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Re: The 200 seventh graders at John Witherspoon Middle School raised 80%  [#permalink]

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New post 03 Nov 2018, 10:54
1
sahilkak ill try explaining it another way.

Total Cost of the trip is say= T
but then they got an unexpected discount of 10% on T and that is = 10% of (T-20) and they used that to buy cookies and pay the driver so 200(total students) * 0.03(cost per cookie)+18 (Drivers fee) = $78

so 10%*(T-20)=78
10/100*(T-20)=78
T-20=780
T=800
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The 200 seventh graders at John Witherspoon Middle School raised 80%  [#permalink]

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New post Updated on: 16 May 2019, 18:48
Bunuel 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


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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Originally posted by ScottTargetTestPrep on 14 Mar 2019, 07:19.
Last edited by ScottTargetTestPrep on 16 May 2019, 18:48, edited 1 time in total.
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Re: The 200 seventh graders at John Witherspoon Middle School raised 80%  [#permalink]

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New post 16 May 2019, 09:52
ScottTargetTestPrep wrote:
Bunuel 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


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



Hi ScottTargetTestPrep,
Thank you for your solution, but you have actually arrived at c and NOT option D. Can you please check your solution? Thanks.
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Re: The 200 seventh graders at John Witherspoon Middle School raised 80%  [#permalink]

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New post 16 May 2019, 18:48
stne wrote:
ScottTargetTestPrep wrote:
Bunuel 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


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



Hi ScottTargetTestPrep,
Thank you for your solution, but you have actually arrived at c and NOT option D. Can you please check your solution? Thanks.


Nice catch. Just adjusted my solution.
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Re: The 200 seventh graders at John Witherspoon Middle School raised 80%   [#permalink] 16 May 2019, 18:48
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