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# Q. Water lily grows at such a rate that it covers double the

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Manager
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Q. Water lily grows at such a rate that it covers double the [#permalink]  28 Jan 2007, 19:17
Q. Water lily grows at such a rate that it covers double the surface that it covered the day before. It takes 30 days for a water lily to cover the entire surface of the pond. How long would it take for two water lilies of the same size to cover the entire surface of the same pond?

A. 8.33
B. 12.5
C. 15
D. 20
E. 29

Q. The table below shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 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 Month Average Price per Dozen April$1.26
May $1.20 June$1.08

Thanks
Director
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Quote:
Q. The table below shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 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 Month Average Price per Dozen April$1.26
May $1.20 June$1.08

Quote:
The table below shows the average (arithmetic mean) price per dozen of the large grade A eggs

1.26 = x/12 ---> x = 15.12
1.20 = x/12 ---> x = 14.40
1.08 = x/24 ---> x = 25.92

15.12 + 14.40 + 25.92 = 55.44

55.44/(12 + 12 + 24) = 55.44/48 = 1.155 = 1.16

I get D.

Is anyone up for solving the first one? I'd like to see a quick way to do that one.
Intern
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For #1 I would guess E..but this is just an educated guess..

Lets say that it were 8 days and it started off at a size of 1

So you get...1, 2, 4, 8, 16, 32, 64, 128.... well if two are growing then you have another 1, 2, 4, 8, 16, 32, 64, 128..at day 7 both are at a size of 64 so 64+64= 128 which is the size at day 8...day 7 is one day before day 8, hence how made an educated guess that the answer is (E) 29 days.....
Senior Manager
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Re: Word Problems-- need help [#permalink]  29 Jan 2007, 08:19
Q. Water lily grows at such a rate that it covers double the surface that it covered the day before. It takes 30 days for a water lily to cover the entire surface of the pond. How long would it take for two water lilies of the same size to cover the entire surface of the same pond?

A. 8.33
B. 12.5
C. 15
D. 20
E. 29

Let intial area be A
A become 2^1*A in 1 day and 2^2A in 2 days ... 2^30A in 30 days

With two lilies
we can have eqation

2^(n) * 2= 2^30*A

2^(n+1)A = 2^30A

n+1=30
n=29

Q. The table below shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 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 Month Average Price per Dozen April$1.26
May $1.20 June$1.08

Qty in April is A same in may A and hune its 2A
Average = total cost/Total qty

Avg = (A*1.26+A*1.2+2*A*1.08)/ A+A+2A
=(1.26+1.2+2.16)/4
=4.62/4=1.155

= 1.6
Manager
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Thanks for the explanations friends.
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# Q. Water lily grows at such a rate that it covers double the

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