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Question
`2/5` of total number of students of a school come by car while `1/4` of students come by bus to school. All the other students walk to school of which `1/3` walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own, how many students study in that school?
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Solution
Let the number of students study in school be x.
Number of students come by car = `2/5 xx x = 2/5x`
Number of students come by bus = `1/4 xx x = 1/4x`
Remaining students walk to school = `x - (2/5x + 1/4x)`
= `x- ((8x + 5x)/20)`
= `x - (13x)/20`
= `(20x - 13x)/20`
= `(7x)/20`
Now, number of students walk to school on their own = `1/3` of `(7x)/20 = (7x)/60`.
Since, 224 students come to school on their own.
According to the question,
`(7x)/60` = 224
⇒ `x = (224 xx 60)/7`
= 32 × 60
= 1920
Hence, 1920 students study in that school.
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