In a boys school, if 5 students sit in every bench, 4 benches are empty. But if 3 students sit in every bench. 20 students are left standing. What is the number of benches in the class?

(Equation)

Created: 1 year ago | Updated: 1 year ago
Updated: 1 year ago

Let, number of total bench is x

Number of students = 5x - (4 × 5) = 5x - 20

In second case, number of students will bc = 3x + 20

According to the question,

5x - 20 = 3x + 20

= 5x - 3x = 20 + 20

= 2x = 40

 x=402=20

Number of benches is 20.

1 year ago

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