Question

A gymnasium can hold no more than 650 people. a permanent bleacher in the gymnasium holds 125 people. the event organizers are setting up 25 rows with an equal number of chairs. at most, how many chairs can be in each row? (write and solve an inequality)

Answer 1

The gymnasium can hold a maximum of 650 people. After accounting for the 125 people that the permanent bleacher can hold, we can seat up to an additional 525 people. By dividing this number by the 25 rows, we find that at most, each row can have 21 chairs.

Step-by-step explanation:

To determine the maximum number of chairs per row, we need to set up an inequality. The gymnasium can hold 650 people, and the permanent bleacher holds 125 people. Assuming that the event will maximize the available space, we have to find out how many additional people can be seated in chairs.

First, calculate the remaining capacity after accounting for the bleacher:
Remaining capacity = Total capacity - Bleacher capacity
= 650 people - 125 people
= 525 people.

Now, let's denote the number of chairs per row as 'c'. Since there are 25 rows, the total number of chairs will be 25c. The inequality that represents the situation is:

25c ≤ 525

To find c, we divide both sides of the inequality by 25:

c ≤ 525 / 25
= 21

So, at most, each row can have 21 chairs.