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# The average age of 33 fifth-graders is 11. The average age of 55 of th

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Math Expert
Joined: 02 Sep 2009
Posts: 59728
The average age of 33 fifth-graders is 11. The average age of 55 of th  [#permalink]

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20 Mar 2019, 04:41
00:00

Difficulty:

25% (medium)

Question Stats:

82% (02:24) correct 18% (02:17) wrong based on 34 sessions

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The average age of 33 fifth-graders is 11. The average age of 55 of their parents is 33. What is the average age of all of these parents and fifth-graders?

(A) 22
(B) 23.25
(C) 24.75
(D) 26.25
(E) 28

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Re: The average age of 33 fifth-graders is 11. The average age of 55 of th  [#permalink]

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20 Mar 2019, 07:00
Bunuel wrote:
The average age of 33 fifth-graders is 11. The average age of 55 of their parents is 33. What is the average age of all of these parents and fifth-graders?

(A) 22
(B) 23.25
(C) 24.75
(D) 26.25
(E) 28

to determine
11*33+5*33 / 33+55
IMO C
24.75
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Re: The average age of 33 fifth-graders is 11. The average age of 55 of th  [#permalink]

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22 Mar 2019, 10:01
Bunuel wrote:
The average age of 33 fifth-graders is 11. The average age of 55 of their parents is 33. What is the average age of all of these parents and fifth-graders?

(A) 22
(B) 23.25
(C) 24.75
(D) 26.25
(E) 28

We can create the equation for this weighted average question:

average = [(33 x 11) + (55 x 33)]/88

average = 33(11 + 55)/88

average = 3(11 + 55)/8 = (3 x 66)/8 = 198/8 = 24.75

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Re: The average age of 33 fifth-graders is 11. The average age of 55 of th   [#permalink] 22 Mar 2019, 10:01
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