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Math Expert V
Joined: 02 Sep 2009
Posts: 58427
A basket of 1430 apples is divided equally among a group of apple love  [#permalink]

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9 00:00

Difficulty:   45% (medium)

Question Stats: 74% (02:52) correct 26% (02:55) wrong based on 129 sessions

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A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples did each person get before 45 people joined the feast?

A. 20.
B. 21.
C. 22.
D. 23.
E. 24.

_________________
Manager  Joined: 19 Dec 2015
Posts: 108
Location: United States
GMAT 1: 720 Q50 V38 GPA: 3.8
WE: Information Technology (Computer Software)
Re: A basket of 1430 apples is divided equally among a group of apple love  [#permalink]

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Before solving it algebraically, let us prime factorize 1430 = 2*5*11*13.

Since number of apples per person * total persons = 1430, the answer should be a factor of 1430. Only C is. And that's your answer.
Manager  Joined: 20 Mar 2015
Posts: 54
A basket of 1430 apples is divided equally among a group of apple love  [#permalink]

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Bunuel wrote:
A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples did each person get before 45 people joined the feast?

A. 20.
B. 21.
C. 22.
D. 23.
E. 24.

Since I didn't know what equation to make, I used the answer choices.

First I wanted to see if 1430 is divisible by anyone of the answer choices. (If non of the answer choices divided the number 1430, I would have simply guessed and moved to another question in actual test.)

A.1430/20 = 143/2
B 1430/21 = 1430/21
C 1430/22 = 65 (I checked this number first.)

If 1430 apple was divided among 65 people, each would have received 22. After addition of 45 people the answer should be 13. 1430/110 = 13.

C is the answer.
Intern  B
Joined: 23 Jun 2017
Posts: 10
Re: A basket of 1430 apples is divided equally among a group of apple love  [#permalink]

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Bunuel wrote:
A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples did each person get before 45 people joined the feast?

A. 20.
B. 21.
C. 22.
D. 23.
E. 24.

Hi.
x*y = 1430
(x+45)*(y-9) = 1430
Solve the equation you get the answer
Intern  B
Joined: 11 Apr 2014
Posts: 20
Re: A basket of 1430 apples is divided equally among a group of apple love  [#permalink]

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Hi please tell me what is wrong with this approach

let a -> average ( initial )
and n -> number of people ( initial)

(1430) / n - (1430)/ (n+45) = 9

but by solving i am getting very bad value of n.

kindly help
examPAL Representative P
Joined: 07 Dec 2017
Posts: 1153
Re: A basket of 1430 apples is divided equally among a group of apple love  [#permalink]

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coolnaren wrote:
Hi please tell me what is wrong with this approach

let a -> average ( initial )
and n -> number of people ( initial)

(1430) / n - (1430)/ (n+45) = 9

but by solving i am getting very bad value of n.

kindly help

Your equation is correct and if you plug it into google you will get that n = 65.
Then you would need to divide 1430 by 65 to get answer (C).
But - this is an extremely complex quadratic equation.
If, like on this question, you find yourself in front of such a complex quadratic equation there is a very good chance that you've missed a shortcut. Look for it!
For example, look at the solutions using prime factorization above.
_________________ Re: A basket of 1430 apples is divided equally among a group of apple love   [#permalink] 01 Jan 2018, 03:48
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