Question

A gymnasium can hold no more than 650 people. A permanent permanent bleacher in the gymnasium holds 136 people. The event organizers are setting up 25 rows with an equal number of chairs. At most, how many chairs can be in each room?

Answer 1

136 + 25x ≤ 650
136 - 136 + 25x ≤ 650 - 136
25x ≤ 514
(1/25)(25x) ≤ (514)(1/25)
x ≤ 20.56
there can be at at the most, 20 chair in each row.

Answer 2

Total number of chairs in each room = 636 chairs

Explanation:

Given

Maximum people = 650

Permanent Bleacher holds 136 people

Suppose there are 25 rows set up of seats; let n = number of chairs per row.

This means that there are (650 - 136) seat spaces left

650 - 136 = 514 seat spaces

This means that the total set up of seat must be less than or equal to 514.

Mathematically,

25 * n <= 514 ---Divide through by 25

25n/25 <= 514/25

n <= 20.56

Since n <= 20.56 then number of rows = 20 (Approximated)

Total number of chairs in each room = 20 * 25 + 136

Total number of chairs in each room = 500 + 136

Total number of chairs in each room = 636 chairs