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One-fifth of the students at a nursery school are 4 years old or older

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One-fifth of the students at a nursery school are 4 years old or older  [#permalink]

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New post 17 Aug 2018, 12:07
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (01:48) correct 37% (02:04) wrong based on 66 sessions

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Concentration: Finance, Human Resources
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Re: One-fifth of the students at a nursery school are 4 years old or older  [#permalink]

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New post 17 Aug 2018, 12:18
Total number of students =x;
students >= 4 = x/5;
students less than 3 =16;
hence x/5 + 16 =40;
thus x = 120.
Sol : A
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Re: One-fifth of the students at a nursery school are 4 years old or older  [#permalink]

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New post 20 Aug 2018, 11:18
Bunuel wrote:
One-fifth of the students at a nursery school are 4 years old or older. If 16 students have not yet reached their third birthday, and a total of 40 students are not between 3 years old and 4 years old, how many children are in the nursery school?

A) 120

B) 96

C) 70

D) 60

E) 24


Let’s let x = the total number of students at the school. We know that 1/5 of the total number of students, or 0.2x, are 4 years old or older. Additionally, we are given that 16 students are less than age 3. The key piece of information is that a total of 40 students are NOT between ages 3 and 4, which means that:

0.2x + 16 = 40

2x + 160 = 400

2x = 240

x = 120

Answer: A
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Re: One-fifth of the students at a nursery school are 4 years old or older   [#permalink] 20 Aug 2018, 11:18
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