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# Q 8. At a certain food stand, the price of each apple is

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SVP
Joined: 28 May 2005
Posts: 1555
Location: Dhaka
Q 8. At a certain food stand, the price of each apple is   [#permalink]

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10 Oct 2005, 12:45
1
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Difficulty:

(N/A)

Question Stats:

80% (02:02) correct 20% (03:31) wrong based on 57 sessions

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Q 8.
At a certain food stand, the price of each apple is Â¢ 40 and the price of each orange is Â¢60. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is Â¢ 56. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is Â¢ 52?
A. 1
B. 2
C. 3
D. 4
E. 5

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Manager
Joined: 15 Jul 2005
Posts: 99

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10 Oct 2005, 12:56
3
e. 5

let x be number of apples, y be number of oranges.

(40x+60y)/x+y = 56

or 40x+60y=560

or 4x+6y=56

we also know that x+y = 10

solving simultaneously for x & y, we get x = 2, y = 8

now, (2*40+y*60)/2+y = 52

or 80+60y=104+52y

= y=3

now subtracting the previous value of y from the new value, 8-3 = 5

so she must replace 5 oranges
Senior Manager
Joined: 02 Oct 2005
Posts: 290

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10 Oct 2005, 13:09

x + y = 10

40x + 60y/ x+y = 52

40x + 60y = 520

400 - 40y + 60y = 520

20 y = 120

y = 6

to get average 56, y = 56 (pls refer to chets post)

Hence 8 - 6 = 2.
Manager
Joined: 15 Jul 2005
Posts: 99

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10 Oct 2005, 13:14
sudhagar wrote:

x + y = 10

40x + 60y/ x+y = 52

40x + 60y = 520

400 - 40y + 60y = 520

20 y = 120

y = 6

to get average 56, y = 56 (pls refer to chets post)

Hence 8 - 6 = 2.

when she returns oranges, x+y will no longer be equal to 10.

x will remain 2, and y will be the new number of oranges.

If she returns 5 oranges, she will have 3 oranges and 2 apples. To check accuracy, you can cross check by checking the average price of 3 oranges and 2 apples, which should equal 52 cents.

((2*40)+(3*60))/2+3 = (80+180)/5 = 260/5 = 52.
VP
Joined: 22 Aug 2005
Posts: 1046
Location: CA

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10 Oct 2005, 13:28
1
1
E.
let x be the number of Oranges removed.
The difference in average will amount to the removed oranges value.

60 * x = 10 * 56 - [(10 - x) * 52]
or 8x = 40 or

x = 5

trick is to correctly put right side of the expression.
for example, it is wrong, here, to put:
60 * x = 4 * 10 or
60 * x = 4 * (10 - x)
Senior Manager
Joined: 02 Oct 2005
Posts: 290

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10 Oct 2005, 13:52
Oops ... My mistake

Thanks for clarifying Chets.
Intern
Joined: 08 Feb 2005
Posts: 15

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10 Oct 2005, 16:30
This one is really good I too forgot that I cannot divide by 10, my first answer was 2
Intern
Joined: 11 Jul 2005
Posts: 13

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11 Oct 2005, 05:08
Whats the OA ? I think it is B.2

The equation is 40X +60 (10-X)=560; whihc gives value of x=2;y=8
Now substituting, 520 instead of 560, we get x=4 adn y= 6, therefore to reduce the avearge she will have to put back 2 oranges. Therefore B ?

Smart one though !!

Priti
Director
Joined: 15 Aug 2005
Posts: 752
Location: Singapore

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11 Oct 2005, 05:38
You cannot substitute 560 by 520 as you dont know the total number of items. The changed total number of items will be less than 10 - so the sum is 52(2+y)

_________________
Cheers, Rahul.
SVP
Joined: 28 May 2005
Posts: 1555
Location: Dhaka

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13 Oct 2005, 14:43
OA is E.
Thanks rahulraao
Non-Human User
Joined: 09 Sep 2013
Posts: 10950
Re: Q 8. At a certain food stand, the price of each apple is   [#permalink]

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11 Sep 2017, 13:46
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Re: Q 8. At a certain food stand, the price of each apple is   [#permalink] 11 Sep 2017, 13:46
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