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# A group of 20 friends went out for lunch. Five of them spent \$21 each

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Math Expert
Joined: 02 Sep 2009
Posts: 53069
A group of 20 friends went out for lunch. Five of them spent \$21 each  [#permalink]

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16 Oct 2018, 23:22
00:00

Difficulty:

75% (hard)

Question Stats:

48% (02:24) correct 52% (02:27) wrong based on 33 sessions

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A group of 20 friends went out for lunch. Five of them spent \$21 each and each of the rest spent \$x less than the average of all of them. Is the value of the average amount spent by all the friends \$12?

(1) x = 3
(2) The total amount spent by all the friends is \$240.

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Re: A group of 20 friends went out for lunch. Five of them spent \$21 each  [#permalink]

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19 Oct 2018, 05:17
Bunuel wrote:
A group of 20 friends went out for lunch. Five of them spent \$21 each and each of the rest spent \$x less than the average of all of them. Is the value of the average amount spent by all the friends \$12?

(1) x = 3
(2) The total amount spent by all the friends is \$240.

Total Friends = 20
5 spent \$21 each i.e. total spend of 5 friends = 5*21 = 105
If average of all 20 friends = a
Then, total spend of remaining 15 friends = 15*(a-x)

Total Spend of all 20 friends = 105+15(a-x)

For Average to be \$12, total spend = 105+15(12-x) = 12*20

i.e. 12-x = 135/15 = 9

Question REPHRASED: Is x = 3?

Statement 1: x = 3

SUFFICIENT

Statement 2: The total amount spent by all the friends is \$240.

i.e. Average = 240/20 = 12

SUFFICIENT

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Re: A group of 20 friends went out for lunch. Five of them spent \$21 each   [#permalink] 19 Oct 2018, 05:17
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