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A church collected exactly $303 from its members during a service

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Director
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A church collected exactly $303 from its members during a service  [#permalink]

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New post 13 Sep 2018, 18:05
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (01:23) correct 18% (01:10) wrong based on 21 sessions

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A church collected exactly $303 from its members during a service. If each member contributed at least $2.50, what is the greatest number of members that could have attended this particular service?


A) 119
B) 120
C) 121
D) 122
E) 123

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Re: A church collected exactly $303 from its members during a service  [#permalink]

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New post 13 Sep 2018, 18:28
Every member pays at least 2.5$.

For the members to be maximum we should keep the contribution as low as possible.

300/2.5 = 120

and the last member contributes 3$.

Total 121 members contributed.

C is the answer.
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Re: A church collected exactly $303 from its members during a service  [#permalink]

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New post 14 Sep 2018, 00:14
Hi,

Another way of solving this question,

Whenever asked “greatest or maximum” in the question, pick the greatest answer choice and work backwards.

Here the greatest answer choice is E. 123

If greatest number of members attended is 123 and each paid minimum 2.5 then the total collection would be 307.5, which contradicts the total amount collected which is 303. So, eliminate E.

Moving to the next greatest answer choice D. 122

If greatest number of members attended is 122 and each paid minimum 2.5 then the total collection would be 305, which contradicts the total amount collected - 303. So, eliminate D.

Moving to the next greatest answer choice C. 121

If greatest number of members attended is 121 and each paid minimum 2.5 then the total collection would be 302.5. This works perfectly fine.

So, the answer is C.

Hope this helps.
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Re: A church collected exactly $303 from its members during a service   [#permalink] 14 Sep 2018, 00:14
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