Month Average Priceper Dozen
April $1.26
May $1.20
June $1.08
19. The table above shows the average (arithmetic mean) price per dozen of the large grade A 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
Please help ?
Thanks!
PS-Section 1
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Ans will be D
Suppose he buys x dozens eggs in May
so, in april he buys 2x/3 dozens and
in may he buys 4x/3 dozens
Total eggs = x+2x/3+4x/3 = 3x dozens
Total amt spend = (2x/3)*1.26 + x*1.2 + (4x/3)*1.08 = 3.5x
Avg price per dozen = 3.5x/3x = 1.16 D
Suppose he buys x dozens eggs in May
so, in april he buys 2x/3 dozens and
in may he buys 4x/3 dozens
Total eggs = x+2x/3+4x/3 = 3x dozens
Total amt spend = (2x/3)*1.26 + x*1.2 + (4x/3)*1.08 = 3.5x
Avg price per dozen = 3.5x/3x = 1.16 D