Solve the following mathematical problems:

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 $\times$ 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

$∴$ $x = \frac{40}{2} = 20$

$∴$ Number of benches is 20.

1 year ago

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