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Manager
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Joined: 09 Feb 2003
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Solution [#permalink] New post 12 Nov 2003, 16:43
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Hi there,
The average (arithmetic mean) price per dozen of the grade A eggs sold in a certain store during three consecutive months are $1.26, 1.20 and 1.08 for April,May, and June respectively. If 2/3 as many dozen were sold in April as in may and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
A.1.08
B. 1.10
C.1.14
D.1.16
E.1.18
The answer is D. Can anybody provide the solution. :wall
Thanks
Sarnia
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 [#permalink] New post 12 Nov 2003, 17:22
a = # dozens in April
m = # dozens in May
j = # dozens in June

Given: a = 2m/3, j = 2a = 4m/3

m + 2m/3 + 4m/3
= 1.2 + 2*1.26/3 + 4*1.08/3
= 1.16
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 [#permalink] New post 12 Nov 2003, 17:32
Let quantity for month April, May & June is A, M & J resp.
From 2/3 as many dozen were sold in April as in may and twice as many were sold in June as in April,

A=(2/3) M and J=2A

From this quantity for April=A
quantity for May=(3/2)A
quantity for June= 2A
Total quatity=4.5A

Total Price=1.29A+(3/2)1.20A+(1.08)2A

Avg=5.22/4.5=1.16 (cancel A)
  [#permalink] 12 Nov 2003, 17:32
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