Anita spent a total of $780 on 52 bottles of wine for her wedding. She

Question

Anita spent a total of $780 on 52 bottles of wine for her wedding. She then decided to buy 8 bottles of sparkling wine for the toasts, as well. Was the average (arithmetic mean) price per bottle of wine less than $20?

(1) Each bottle of sparkling wine cost more than $15.

(2) Each bottle of sparkling wine cost less than $40.

(1) Each bottle of sparkling wine cost more than $15.

(2) Each bottle of sparkling wine cost less than $40.

Kudos for a correct  solution .

jesusjim · Answer

780/52 = 15
So is (780+8x)/60 < 20
Statement 1 x could be 1000 so insufficient

Statement 2 780+8(40) / 60 =18.66
So less than 20e a bottle at max price for sparkling 
Answer B

Mascarfi · Answer

(52+8)*20=1200
1200-780=420
420/8=52.5

1)not sufficient
2)sufficient

B is the answer

D3N0 · Answer

Ans: B

Solution: avg cost of per bottle wine= total cost/numbers =  /(52+8)
1) it only gives us minimum range for the cost of sw so we can only find minimum avg cost. which after sw=15 is 15 so  
2) it gives us maximum value range for the cost of sw so we can find maximum avg cost range= which after sw=40 is 18.xx.
as statement 2 tells us that avg must be < 18.xx we can say that price per bottle of wine is <20

Bunuel · Answer

GROCKIT OFFICIAL SOLUTION:

Take another look at what exactly the question is calling for: the TOTAL average price of all the wine at the wedding. We should look at the suggested average ($20) and use that as our threshold amount.

60 bottles * $20/bottle = $1200 total

$1200 total – $780 (given) = $420 (left for sparkling wine)

$420 / 8 bottles = $52.50/bottle of sparkling wine (for the total average to equal $20)

Which of the answer choices are conclusively above or below $52.50/bottle of sparkling wine? Only (2). With (1), we can be below OR above the threshold, so (1) is not sufficient.

Answer Choice (B)

JLAR2107 · Answer

I started by putting all of our known facts into the average equation:
Total Spent/Bottles of Wine Bought = Average Price per Bottle
Total Spent = 780 + x (x is the total spent on sparkling wine)
Bottles of Wine Bought = 52 + 8 (52 were originally bought and then another 8 were bought)
Average = (780 + x)/(52+8) = 13 + x/60
So we want to know if the total spent on sparkling wine (x) divided by 60 plus 7 is less than 20
---> x/60 < 7? so is x < 720

Statement 1:
Each bottle of sparkling wine costs more then $15
If a bottle of sparkling wine costs 16 dollars, 16*8 < 720 so yes the average price is less than $20
If a bottle of sparkling wine costs 1000 dollars, 1000*8 > 720 so no the average price is not less than $20
Therefore statement 1 is insufficient

Statement 2:
Each bottle of wine costs less than $40
If a bottle of wine costs $40 then the total spent is 40*8 which is less than 720.
This means the average price is less than $20 therefore statement 2 is sufficient

---> B

Divyadisha · Answer

By adding 8 more bottles, total bottles will be 60. And to have avg. price of <20 the total price must be < 20*60 = 1200

52 bottles costed 780, so the additional 8 bottles must cost < 1200- 780 or 420

or each bottle must cost < 420/8= 53( approximately)

(1) Each bottle of sparkling wine cost more than $15. it can be any price >15, for example $20 or $ 60. Not sufficient

(2) Each bottle of sparkling wine cost less than $40. Less than $40 is sufficient to arrive at the conclusion.

B is the answer

h31337u · Answer

Anita spent a total of $780 on 52 bottles of wine for her wedding. She then decided to buy 8 bottles of sparkling wine for the toasts, as well. Was the average (arithmetic mean) price per bottle of wine less than $20?

(1) Each bottle of sparkling wine cost more than $15.

(2) Each bottle of sparkling wine cost less than $40.

(1) Each bottle of sparkling wine cost more than $15.

(2) Each bottle of sparkling wine cost less than $40.

the answer is B.

Total bottle after sparkling wine = 60
x = $ for sparkling wine
The question is asking that $780 + $8x < 60(bottles) x $20 (avg).

(1) Let's asssume that x = 16, then $908($780 + $128) < $1200. But if x = 100, then $1580($780 + $800) > $1200. 
two different results.

(2) even if x = 40 (the maximum number), still $1100 < $1200. 
correct.

IMB - the answer is B.

bumpbot · Answer

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Anita spent a total of $780 on 52 bottles of wine for her wedding. She

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