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# If 20 percent of the students at a certain school went to a camping tr

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Math Expert
Joined: 02 Sep 2009
Posts: 60633
If 20 percent of the students at a certain school went to a camping tr  [#permalink]

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06 Nov 2019, 06:58
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:21) correct 33% (01:51) wrong based on 48 sessions

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If 20 percent of the students at a certain school went to a camping trip and took more than \$100, and 75 percent of the students who went to the camping trip did not take more than \$100, what percentage of the students at the school went to the camping trip?

(A) 95
(B) 90
(C) 85
(D) 80
(E) 75

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Re: If 20 percent of the students at a certain school went to a camping tr  [#permalink]

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06 Nov 2019, 07:26
1
Let x percentage of the students went on the trip
x/4=20
x=80

Bunuel wrote:
If 20 percent of the students at a certain school went to a camping trip and took more than \$100, and 75 percent of the students who went to the camping trip did not take more than \$100, what percentage of the students at the school went to the camping trip?

(A) 95
(B) 90
(C) 85
(D) 80
(E) 75

Are You Up For the Challenge: 700 Level Questions
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Re: If 20 percent of the students at a certain school went to a camping tr  [#permalink]

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06 Nov 2019, 07:39
Bunuel wrote:
If 20 percent of the students at a certain school went to a camping trip and took more than \$100, and 75 percent of the students who went to the camping trip did not take more than \$100, what percentage of the students at the school went to the camping trip?

(A) 95
(B) 90
(C) 85
(D) 80
(E) 75

Are You Up For the Challenge: 700 Level Questions

75 percent = 3/4

Or, 1/4 of the students who went to the camping & took more than \$100 = 20%

Thus, total no of students who went to the campaign & took more than \$100 = 80%, Answer must be (D)
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Re: If 20 percent of the students at a certain school went to a camping tr  [#permalink]

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06 Nov 2019, 10:09
Students who went to a camping trip are divided in to 2 groups:
—> those who took more than \$100 (25%)
—> those who did not take more than \$100 ( 75%)

0.2 of all students went to a camping trip and took more than \$100.

0.2= 25%
—> 100%= 0.8 of all students

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Re: If 20 percent of the students at a certain school went to a camping tr  [#permalink]

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06 Nov 2019, 10:18
.75*x = no of students did not take more than \$100
so 25% or say 1/4 of students took >100\$
.20 = x/4 = .8 or say 80%
IMO D

Bunuel wrote:
If 20 percent of the students at a certain school went to a camping trip and took more than \$100, and 75 percent of the students who went to the camping trip did not take more than \$100, what percentage of the students at the school went to the camping trip?

(A) 95
(B) 90
(C) 85
(D) 80
(E) 75

Are You Up For the Challenge: 700 Level Questions
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Joined: 14 Oct 2015
Posts: 9125
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Re: If 20 percent of the students at a certain school went to a camping tr  [#permalink]

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07 Nov 2019, 19:57
Bunuel wrote:
If 20 percent of the students at a certain school went to a camping trip and took more than \$100, and 75 percent of the students who went to the camping trip did not take more than \$100, what percentage of the students at the school went to the camping trip?

(A) 95
(B) 90
(C) 85
(D) 80
(E) 75

Are You Up For the Challenge: 700 Level Questions

Let the number of students at the school = 100 and n = the number of students who went camping. Thus, 20 students went camping with more than \$100, and 0.75n students went camping with no more than \$100. Since this would mean that 0.25n students went camping with more than \$100, we can create the equation:

0.25n = 20

n/4 = 20

n = 80

Since 80 is 80% of 100, 80% of the students at the school went camping.

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Re: If 20 percent of the students at a certain school went to a camping tr   [#permalink] 07 Nov 2019, 19:57
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