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90 students represent x percent of the boys at Jones Element

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90 students represent x percent of the boys at Jones Element [#permalink] New post 06 Jan 2013, 09:31
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90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?

A. 125
B. 150
C. 225
D. 250
E. 500

[cant understand the language]
[Reveal] Spoiler: OA

Last edited by Bunuel on 07 Jan 2013, 01:46, edited 1 time in total.
Renamed the topic and edited the question.
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Re: percent [#permalink] New post 06 Jan 2013, 09:39
Expert's post
vidyavatigore wrote:
90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?

[cant understand the language]

125

150

225

250

500


90=x/100 * # boys
#boys=0.4x
90=x/100 * 0.4x.
9000=0.4* x^2
22500=x^2
x=150
answer=150.
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Re: 90 students represent x percent of the boys at Jones Element [#permalink] New post 07 Jan 2013, 01:56
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Expert's post
vidyavatigore wrote:
90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?

A. 125
B. 150
C. 225
D. 250
E. 500

[cant understand the language]


Step by step:
90 students represent x percent of the boys at Jones Elementary School: 90=\frac{x}{100}*boys --> boys=\frac{9000}{x};

The boys at Jones Elementary make up 40% of the total school population of x students: boys=0.4x --> \frac{9000}{x}=0.4x --> x=150.

Answer: B.

To elaborate: there are total of 150 students at the school and 0.4*150=60 of them are boys. 150% of 60 boys is 90.
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Re: 90 students represent x percent of the boys at Jones Element   [#permalink] 07 Jan 2013, 01:56
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