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# Solution

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Manager
Joined: 09 Feb 2003
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12 Nov 2003, 17:43
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.
Thanks
Sarnia
Manager
Joined: 26 Aug 2003
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12 Nov 2003, 18:22
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
Intern
Joined: 11 Nov 2003
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Location: CA
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12 Nov 2003, 18:32
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)
12 Nov 2003, 18:32
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