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At the only school in Koala City, 58% of enrolled students are below G

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Bunuel
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At the only school in Koala City, 58% of enrolled students are below G [#permalink] New post   23 Jun 2020, 03:30
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At the only school in Koala City, 58% of enrolled students are below Grade 7 and 70% are below Grade 9. If the number of students below Grade 9 is 60 students more than the number of students below Grade 7, how many total students are in the school?

A. 350
B. 400
C. 450
D. 500
E. 550
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D
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At the only school in Koala City, 58% of enrolled students are below G [#permalink] New post   23 Jun 2020, 03:34
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Bunuel wrote:
At the only school in Koala City, 58% of enrolled students are below Grade 7 and 70% are below Grade 9. If the number of students below Grade 9 is 60 students more than the number of students below Grade 7, how many total students are in the school?

A. 350
B. 400
C. 450
D. 500
E. 550


Below 7th: 58%
Below 9th: = below 7th Grade+ 7th Grade +8th Grade = 70%

i.e. 7th Graders + 8th graders = 70-58 = 12%

Given, 12% of students = 60

Total Students 100% = (60/12)*100 = 500

Answer: Option D
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Re: At the only school in Koala City, 58% of enrolled students are below G [#permalink] New post   23 Jun 2020, 03:54
Bunuel wrote:
At the only school in Koala City, 58% of enrolled students are below Grade 7 and 70% are below Grade 9. If the number of students below Grade 9 is 60 students more than the number of students below Grade 7, how many total students are in the school?

A. 350
B. 400
C. 450
D. 500
E. 550


let total be x
so G7 < = .58x and <G9 = .60x
.7x=60+.58x
x= 500
OPTION D
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Re: At the only school in Koala City, 58% of enrolled students are below G [#permalink] New post   23 Jun 2020, 05:54
At the only school in Koala City, 58% of enrolled students are below Grade 7

Let below grade 7 Students be A
Which are 58% of total students.

70% are below Grade 9.

Below Grade 9 = Z which is 70% of total students.
Also, Z = X + Y, where Y = students studying in grade 7 & 8 (12%)

If the number of students below Grade 9 is 60 students more than the number of students below Grade 7,
Z = 60+X
Also Z = X + Y
60+X = X+Y
60 = Y

Where Y = 12% of Total.
12% = 60, then 100% = 60*100/12 = 500

Answer is D

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Re: At the only school in Koala City, 58% of enrolled students are below G [#permalink] New post   23 Jun 2020, 06:06
70% - 58% = 12%
12% = 60 ,so 60/12= 5 so 100% = 100*5=500
ans : D
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Re: At the only school in Koala City, 58% of enrolled students are below G [#permalink]
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