BTGmoderatorDC wrote:
The table above shows the average (arithmetic mean) price per dozen eggs sold in a certain store during three successive months. 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
OA
D
Source: Official Guide
Solution:
We can create the equations:
A = 2M/3
3A = 2M
3A/2 = M
1.5A = M
and
J = 2A
Therefore, the average price per dozen eggs sold over the three-month period is:
(A x 1.26 + 1.5A x 1.20 + 2A x 1.08)/(A + 1.5A + 2A)
(1.26A+ 1.8A + 2.16A)/(4.5A)
5.22A/(4.5A) = 5.22/4.5 = 1.16
Alternate solution:
We can let the number of dozens of eggs sold in May be 6; thus, the number of dozens of eggs sold in April is 2/3 x 6 = 4, and the number of dozens of eggs sold in June is 2 x 4 = 8.
Therefore, the average price per dozen eggs sold over the three-month period is:
(4 x 1.26 + 6 x 1.20 + 8 x 1.08)/(4 + 6 + 8)
20.88/18 = 1.16
Answer: D
