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Yesterday, a certain school had an equal number of boys and girls. Tod [#permalink]
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Yesterday, a certain school had an equal number of boys and girls. Today, 18 boys left the school, and the ratio of the number of boys to girls is now 3 to 4.


Quantity A
Quantity B
Number of boys in the school now
72




A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


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Re: Yesterday, a certain school had an equal number of boys and girls. Tod [#permalink]
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Yesterday, a certain school had an equal number of boys and girls.
Let number of boys = number of girls = x

Today number of boys = x - 18
Today number of girls = x
(x-18) / x = 3/4
4x - 72 = 3x
x = 72

Quantity A = Number of boys in school now = x - 18 = 72-18 = 54
Hence, B is bigger.
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Re: GRE Math Challenge #24-Yesterday, a certain school had [#permalink]
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I am confused on how 72 represents the number of boys yesterday and not from today.
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GRE Math Challenge #24-Yesterday, a certain school had [#permalink]
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Merged similar topic
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Re: GRE Math Challenge #24-Yesterday, a certain school had [#permalink]
when can we use the ratio values actually? like, there are trick questions where they say ratio values do not represent actual nos themselves just a proportion
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Re: GRE Math Challenge #24-Yesterday, a certain school had [#permalink]
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There is not hard rules. It depends on the question: sometimes you can pick numbers to represent the ratio sometimes is better to work via algebra like those solutions provided above.

regards
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Re: GRE Math Challenge #24-Yesterday, a certain school had [#permalink]
Carcass

I hate to be pedantic, but should the additional assumption of "no girls left the school" be included in the question?
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Re: GRE Math Challenge #24-Yesterday, a certain school had [#permalink]
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Mah :dontknow:

I believe what you asked is kinda an overthinking.

When I read such questions I do not even think about.

I have a ratio , then the ratio changes , and then a new ratio. Solve.

No girls left the school is already implied because in the stem only boys did drop out

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Re: GRE Math Challenge #24-Yesterday, a certain school had [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: GRE Math Challenge #24-Yesterday, a certain school had [#permalink]
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