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Jennifer has 40% more stamps than Peter. However,

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Jennifer has 40% more stamps than Peter. However, [#permalink] New post 27 Jul 2017, 10:50
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Question Stats:

66% (01:53) correct 33% (02:12) wrong based on 12 sessions


Jennifer has 40% more stamps than Peter. However, if she gives 45 of her stamps to Peter, then Peter will have 10 % more stamps than Jennifer. How many stamps did Jennifer begin with?

(A) 140

(B) 175

(C) 200

(D) 220

(E) 245
[Reveal] Spoiler: OA

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Re: Jennifer has 40% more stamps than Peter. However, [#permalink] New post 19 Sep 2017, 08:29
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If we call Peter's stamps X, we know that at the beginning Jennifer has 1.4X stamps, i.e. 40% more than Peter. In order to find Peter's stamps X, we have divide Jennifer's stamps by 1.4. Thus, I used this to exclude some of the answers, i.e. those who are not divisible by 1.4 since stamps are integers. Thus, I remained with two possible answers A and E. If we check A, we get that X = 100 while 1.4X = 140 but after the exchange X = 145 while 1.4X = 95 so that X is not 10% higher than 1.4X. Thus, the answer is E.
We can check that it is the right answer since X = 175 and 1.4X = 245 and after the exchange 1.4X = 200 while X = 220 which is exactly 10 percent higher than X.
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Re: Jennifer has 40% more stamps than Peter. However, [#permalink] New post 17 May 2018, 15:30
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Carcass wrote:


Jennifer has 40% more stamps than Peter. However, if she gives 45 of her stamps to Peter, then Peter will have 10 % more stamps than Jennifer. How many stamps did Jennifer begin with?

(A) 140

(B) 175

(C) 200

(D) 220

(E) 245


We can let Peter’s stamps = p and Jennifer’s stamps = 1.4p. If Peter is given 45 stamps from Jennifer, he will have (p + 45) stamps, and Jennifer will have (1.4p - 45) stamps.

We can create the equation:

1.1(1.4p - 45) = p + 45

1.54p - 49.5 = p + 45

0.54p = 94.5

p = 175

So Jennifer initially had 175 x 1.4 = 245 stamps.

Answer: E
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Re: Jennifer has 40% more stamps than Peter. However,   [#permalink] 17 May 2018, 15:30
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Jennifer has 40% more stamps than Peter. However,

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