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Sally gave some of her candy to her friends. How many pieces

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fozzzy
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Sally gave some of her candy to her friends. How many pieces [#permalink] New post   Updated on: 20 Nov 2023, 08:25
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Sally gave some of her candy to her friends. How many pieces of candy did she have before giving any to her friends?

(1) Sally gave each friend 8 pieces of candy
(2) Sally had 7 pieces of candy left after giving candy to her friends.


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E

Originally posted by fozzzy on 16 Jan 2013, 09:36.
Last edited by Bunuel on 20 Nov 2023, 08:25, edited 3 times in total.
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Re: Sally gave some of her candy to her friends. How many pieces [#permalink] New post   16 Jan 2013, 10:10
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Sally gave some of her candy to her friends. How many pieces of candy did she have before giving any to her friends?

(1) Sally gave each friend 8 pieces of candy. Clearly insufficient.

(2) Sally had 7 pieces of candy left after giving candy to her friends. Also insufficient.

(1)+(2) If Sally gave candy to 2 of her friends, then she had 7+2*8=22 pieces of candy but if she gave candy to 3 of her friends, then she had 7+3*8=31 pieces of candy. Not sufficient.

Answer: E.
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Re: Sally gave some of her candy to her friends. How many pieces [#permalink] New post   16 Jan 2013, 10:18
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Consider X be total number of candies Sally had before giving any to her friend. We need to find X.

1) sally gave each friend 8 pieces of candy
INSUFFICIENT: We dont know number of friends and how many pieces are left after distributing the candies:
If there are 2 friends and 2 candies were left then X = 2*8+2=18
If there are 3 friends and 2 candies were left then X = 3*8+2=26

2) sally had 7 pieces of candy left after giving candy to her friends.
INSUFFICIENT: This choice doesn't tell number of friends and how many pieces she distributed per friend
If there are 2 friends and 1 candy was given per friend then X = 2*1+7= 9
If there are 3 friends and 1 candy was given per friend then X = 3*1+7= 10

Combining (1) & (2): gave each friend 8 pieces of candy & 7 pieces of candy left after distribution:
INSUFFICIENT: Even after combining we dont know the number of friends.
If there are 2 friends then x = 2*8+7= 23
If there are 3 friends then x = 3*8+7= 31

We cannot identify x (No. of pieces of candy Sally has) using any of above statements or combined.

Hence choice(E) is the answer.
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Re: Sally gave some of her candy to her friends. How many pieces [#permalink] New post   16 Jan 2013, 10:48
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Statement 1: Could 1 friend, could have 2 friends...etc... Not Sufficient
Statement 2: Same logic as the first statement. Could have given 1 piece of candy out, could have given 2 pieces of candy out..etc.. Not Sufficient.
Statements 1&2 Together: Could have 1 friend (total of 15 pieces of candy), Could have 2 friends (total of 23 pieces of candy)...etc... Not sufficient.
E.
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Re: Sally gave some of her candy to her friends. How many pieces [#permalink] New post   16 Jan 2013, 19:59
So basically this question is testing the concept of remainders?
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Re: Sally gave some of her candy to her friends. How many pieces [#permalink] New post   Updated on: 16 Jan 2013, 21:27
Yes divisibility & remainders.

Originally posted by PrashantPonde on 16 Jan 2013, 21:09.
Last edited by PrashantPonde on 16 Jan 2013, 21:27, edited 1 time in total.
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Re: Sally gave some of her candy to her friends. How many pieces [#permalink] New post   Updated on: 02 Oct 2022, 22:39
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fozzzy wrote:
So basically this question is testing the concept of remainders?


Yes, you can easily express it in remainder terms.

N = QD + R

N - Total candy she had at the beginning
Q - No. of friends (the quotient)
D - No of candies given to each friend (the divisor)
R - No of candies she is left with (the remainder)

To get the value of N, you need to know Q, D and R.
Statement 1 gives you D and statement II gives you R.
You still don't have Q i.e. the number of friends so you cannot find N.

Answer (E)

Originally posted by KarishmaB on 16 Jan 2013, 21:24.
Last edited by KarishmaB on 02 Oct 2022, 22:39, edited 1 time in total.
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Re: Sally gave some of her candy to her friends. How many pieces [#permalink] New post   08 Feb 2023, 06:10
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Re: Sally gave some of her candy to her friends. How many pieces [#permalink]
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