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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, 00:39
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A
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C
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E

Difficulty:

  55% (hard)

Question Stats:

68% (02:36) correct 32% (03:31) wrong based on 31 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, 01:10
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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, 08:44
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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, 09:54
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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Re: The 200 seventh graders at John Witherspoon Middle School raised 80% &nbs [#permalink] 03 Nov 2018, 09:54
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The 200 seventh graders at John Witherspoon Middle School raised 80%

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