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# PITA & hidden plug-In drill MCQ

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PITA & hidden plug-In drill MCQ [#permalink]  29 Jan 2019, 06:49
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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

In the answer explanation, it stated that" added the processing fee back again after subtraction", I couldn't get this point?
If anyone can help in the solution Please.
[Reveal] Spoiler: OA

Last edited by Carcass on 29 Jan 2019, 09:07, edited 1 time in total.
Edited by Carcass
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Re: PITA & hidden plug-In drill MCQ [#permalink]  29 Jan 2019, 09:38
Expert's post
SKH121 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

In the answer explanation, it stated that" added the processing fee back again after subtraction", I couldn't get this point?
If anyone can help in the solution Please.

Hi,

I wouldn't say that the language is too great.
But the explanation..

I assume that the money collected was knowing there is a processing fee of \$20..
so there is a discount of the remaining amount as that is the one that constitutes the rate part, that is rate per person *200..
discount or saving = 0.1(x-20)..
now money used is 0.3 * 200 for cookies and 18 for the driver so 0.3*200+18=60+18=78...
Thus equating savings with the expenditure thereafter =>
0.1(x-20)=78..
0.1x-2=78...
0.1x=80 or x=800

But the school spends 20% of it so 800*20/100=160
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: PITA & hidden plug-In drill MCQ   [#permalink] 29 Jan 2019, 09:38
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