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# The ratio of boys to girls at Nat Nowen Elementary school is x : y. If

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Math Expert
Joined: 02 Sep 2009
Posts: 52169
The ratio of boys to girls at Nat Nowen Elementary school is x : y. If  [#permalink]

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25 Dec 2017, 00:24
00:00

Difficulty:

35% (medium)

Question Stats:

85% (01:53) correct 15% (02:16) wrong based on 27 sessions

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The ratio of boys to girls at Nat Nowen Elementary school is x : y. If there are z children that attend the school, then in terms of x, y, and z, how many boys attend the school?

A. z/x
B. z/y
C. xz/(x + y)
D. yz/(x + y)
E. (x + z)/(x + y)

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Joined: 07 Dec 2017
Posts: 867
Re: The ratio of boys to girls at Nat Nowen Elementary school is x : y. If  [#permalink]

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25 Dec 2017, 01:04
Bunuel wrote:
The ratio of boys to girls at Nat Nowen Elementary school is x : y. If there are z children that attend the school, then in terms of x, y, and z, how many boys attend the school?

A. z/x
B. z/y
C. xz/(x + y)
D. yz/(x + y)
E. (x + z)/(x + y)

Since we have only variables in the question and in the answer, we'll try to plug in easy numbers.
This is an Alternative approach.
Say that x = 1, y = 2 and z = 3. Then there are 1 boy and 2 girls at the school.
So we're looking for the answer that gives 1.

A. gives 3/1 = 3. No!
B. gives 3/2 = 1.5. No!
C. gives 1*3/(1+2) = 1. Looks good but we still need to check the rest.
D. gives 2*3/(1+2) = 2. No!
E. gives (1 +3)/(1+2) = 4/3. No!

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Re: The ratio of boys to girls at Nat Nowen Elementary school is x : y. If &nbs [#permalink] 25 Dec 2017, 01:04
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