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Eight friends buy chocolates such that everyone buys at least one choc

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Joined: 25 Dec 2018
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GMAT 1: 490 Q47 V13
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Eight friends buy chocolates such that everyone buys at least one choc  [#permalink]

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New post 09 Feb 2019, 09:07
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Eight friends buy chocolates such that everyone buys at least one chocolate. If at the most of 3 friends purchased equal number of chocolates and all others purchased a different number of chocolates, what is the minimum number of chocolates they purchased?

A. 15
B. 20
C. 23
D. 25
E. 28
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Joined: 02 Aug 2009
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Re: Eight friends buy chocolates such that everyone buys at least one choc  [#permalink]

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New post 09 Feb 2019, 09:23
1
akurathi12 wrote:
Eight friends buy chocolates such that everyone buys at least one chocolate. If at the most of 3 friends purchased equal number of chocolates and all others purchased a different number of chocolates, what is the minimum number of chocolates they purchased?

A. 15
B. 20
C. 23
D. 25
E. 28



We are looking for the MINIMUM total...
Since three can buy sane and rest 5 have different, let us take the least values..
So three of them have 1 each and remaining five have 2,3,4,5,6 respectively..

Total = 3*1+2+3+4+5+6=23

C
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Re: Eight friends buy chocolates such that everyone buys at least one choc  [#permalink]

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New post 09 Feb 2019, 09:27
akurathi12 wrote:
Eight friends buy chocolates such that everyone buys at least one chocolate. If at the most of 3 friends purchased equal number of chocolates and all others purchased a different number of chocolates, what is the minimum number of chocolates they purchased?

A. 15
B. 20
C. 23
D. 25
E. 28


KeyWord =
3 friends purchased equal number of chocolates
rest purchased a different number of chocolates,
everyone buys at least one chocolate

a + b +c+d +e + f+ g+h

3h + 2+3+4+5+6
3*1 +20
23

C
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Re: Eight friends buy chocolates such that everyone buys at least one choc  [#permalink]

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New post 10 Feb 2019, 04:26
akurathi12 wrote:
Eight friends buy chocolates such that everyone buys at least one chocolate. If at the most of 3 friends purchased equal number of chocolates and all others purchased a different number of chocolates, what is the minimum number of chocolates they purchased?

A. 15
B. 20
C. 23
D. 25
E. 28


assume three friends bought 1 chocoloate each = 3
and other bought = 2,3,4,5,6 ; sum = 20
total 23
IMO C
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Re: Eight friends buy chocolates such that everyone buys at least one choc   [#permalink] 10 Feb 2019, 04:26
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Eight friends buy chocolates such that everyone buys at least one choc

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