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# 27 percent of the students at a certain school are boys who are enroll

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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27 percent of the students at a certain school are boys who are enroll [#permalink]

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17 Nov 2017, 00:27
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Difficulty:

35% (medium)

Question Stats:

65% (02:05) correct 35% (01:26) wrong based on 46 sessions

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[GMAT math practice question] 11.17

27 percent of the students at a certain school are boys who are enrolled in an advanced math class. If 60 percent of the boys at the school are enrolled in the advanced math class, what percentage of all students at the school
are boys?

A. 25%
B. 30%
C. 35%
D. 40%
E. 45%
[Reveal] Spoiler: OA

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Last edited by MathRevolution on 18 Nov 2017, 15:47, edited 1 time in total.

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Re: 27 percent of the students at a certain school are boys who are enroll [#permalink]

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17 Nov 2017, 07:34
MathRevolution wrote:
[GMAT math practice question] 11.17

27 percent of the students at a certain school are boys who are enrolled in an advanced math class. If 40 percent of the boys at the school are enrolled in the advanced math class, what percentage of all students at the school
are boys?

A. 25%
B. 30%
C. 35%
D. 40%
E. 45%

Hi..
let total be t and boys be b..
Quote:
27 percent of the students at a certain school are boys who are enrolled in an advanced math class = 40 percent of the boys at the school are enrolled in the advanced math class

$$\frac{27t}{100}=\frac{40b}{100}........\frac{b}{t}=\frac{27}{40}$$
so in % = $$\frac{27}{40}*100=67.5%$$
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Kudos [?]: 6132 [0], given: 121

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4476

Kudos [?]: 3155 [0], given: 0

GPA: 3.82
Re: 27 percent of the students at a certain school are boys who are enroll [#permalink]

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18 Nov 2017, 15:50
chetan2u wrote:
MathRevolution wrote:
[GMAT math practice question] 11.17

27 percent of the students at a certain school are boys who are enrolled in an advanced math class. If 40 percent of the boys at the school are enrolled in the advanced math class, what percentage of all students at the school
are boys?

A. 25%
B. 30%
C. 35%
D. 40%
E. 45%

Hi..
let total be t and boys be b..
Quote:
27 percent of the students at a certain school are boys who are enrolled in an advanced math class = 40 percent of the boys at the school are enrolled in the advanced math class

$$\frac{27t}{100}=\frac{40b}{100}........\frac{b}{t}=\frac{27}{40}$$
so in % = $$\frac{27}{40}*100=67.5%$$

The percentage of the boys enrolled in the advanced math class is fixed to 60%.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3155 [0], given: 0

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4476

Kudos [?]: 3155 [0], given: 0

GPA: 3.82
Re: 27 percent of the students at a certain school are boys who are enroll [#permalink]

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19 Nov 2017, 17:33
Attachment:

11.20.png [ 3.16 KiB | Viewed 206 times ]

$$(\frac{45s}{100s})*100 = 45 %$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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Kudos [?]: 3155 [0], given: 0

Re: 27 percent of the students at a certain school are boys who are enroll   [#permalink] 19 Nov 2017, 17:33
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