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At Springfield High, three-fourths of the male students and [#permalink]

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14 Nov 2007, 14:13

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At Springfield High, three-fourths of the male students and half of the female students speak a foreign language. If the number of males is two-thirds the number of females, what fraction of the students speak a foreign language?

Re: At Springfield High, three-fourths of the male students and [#permalink]

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14 Nov 2007, 14:32

bmwhype2 wrote:

at springfield high, 3/4 of males and 1/2F speak a foreign language. If there are 2/3 as many male as female students there, what fractions of the students speal a foreign language?

1/3 3/5 7/7 4/9 4/8

M=2/3(F) assume 3 females in class then 2 males

student speaking foreign language - (3/4)males + 1/2 females

Re: At Springfield High, three-fourths of the male students and [#permalink]

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14 Nov 2007, 14:35

2

This post received KUDOS

bmwhype2 wrote:

at springfield high, 3/4 of males and 1/2F speak a foreign language. If there are 2/3 as many male as female students there, what fractions of the students speal a foreign language?

1/3 3/5 7/7 4/9 4/8

The easiest method for me is to pick a number, which divisible by the denominator, to find the answer.

Re: At Springfield High, three-fourths of the male students and [#permalink]

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14 Nov 2007, 17:36

bmwhype2 wrote:

at springfield high, 3/4 of males and 1/2F speak a foreign language. If there are 2/3 as many male as female students there, what fractions of the students speal a foreign language?

1/3 3/5 7/7 4/9 4/8

Kaplan's picking numbers strategy makes you find speedy answer to this kind of questions.

********BMWHYPE******** you normally leave the posts open to discussion that's fine but do rarely post the OAs. Can you please kindly, regularly, post the OAs as well.

Re: At Springfield High, three-fourths of the male students and [#permalink]

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18 Nov 2007, 04:18

Ravshonbek wrote:

bmwhype2 wrote:

at springfield high, 3/4 of males and 1/2F speak a foreign language. If there are 2/3 as many male as female students there, what fractions of the students speal a foreign language?

1/3 3/5 7/7 4/9 4/8

Kaplan's picking numbers strategy makes you find speedy answer to this kind of questions.

********BMWHYPE******** you normally leave the posts open to discussion that's fine but do rarely post the OAs. Can you please kindly, regularly, post the OAs as well.

Appreciate

i let the questions sit for a week or so, depending on when i have time to get back to reviewing the question.

At Springfield High, three-fourths of the male students and half of the female students speak a foreign language. If the number of males is two-thirds the number of females, what fraction of the students speak a foreign language?

A. 1/3 B. 2/3 C. 1/2 D. 3/4 E. 3/5

M07-15

The number of males is two-thirds the number of females --> \(M=\frac{2}{3}F\) --> \(M:F=2:3\).

Now, say the total number of students is 100, then there are 40 males and 60 females (ratio 40:60=2:3).

So, \(\frac{3}{4}*40+\frac{1}{2}*60=60\) students speak foreign language, which is \(\frac{60}{100}=\frac{3}{5}\) of total students.