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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 Jan 2019, 22:20
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Question Stats:

41% (03:14) correct 59% (02:46) wrong based on 20 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 Updated on: 02 Feb 2019, 10:15
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


total amount spent by students = 08x+.2x=x

money spent on cookies = 200* 0.3 = 60
and amount given to driver 18 so in actual they had 60+18= 78 $
now the amount which would have been at time of before 10% discount
78 = 10/100 * x
x= 780 $
20 $ discount which was provided would be added to 780 $ = 780 + 20 = 800 $

now given school had spent 20% of total so 800 * 20/100 = 160 $
IMO D

Originally posted by Archit3110 on 01 Feb 2019, 11:20.
Last edited by Archit3110 on 02 Feb 2019, 10:15, edited 2 times in total.
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The 200 seventh graders at John Witherspoon Middle School raised 80%  [#permalink]

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New post 01 Feb 2019, 12:07
surplus \(= (200*0.3) + 18 = 60 + 18 = 78\)

if $78 represents a 10% discount, then the original price \(= 78*10 = 780\)

if $20 processing fees are added, then the total cost \(= 780 + 20 = 800\)

if the school donated 20%, then the cost incurred by the school \(= \frac{800}{5} = 160\)

so D
(although I think it is tricky to understand and find it a little bit confusing)
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Re: The 200 seventh graders at John Witherspoon Middle School raised 80%  [#permalink]

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New post 02 Feb 2019, 09:01
let total cost be x.
so, (x-20) is the amount on which the 10% discount is applicable.

total price of cookies and the amount paid to driver: 200(0.3)+18=$78

if $78 is 10%, 100% = 780.
so we know, (x-20) =780 and hence x=800.

Now the question asks how much did the school contributed i.e. 20% of 800 which is 160.

Ans: D
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Re: The 200 seventh graders at John Witherspoon Middle School raised 80%   [#permalink] 02 Feb 2019, 09:01
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