Question

6. A building code allows a maximum of 140 people in a meeting room. There is one large table

in the room, along with some small tables. When filled, the large table seats 15 people, and
the small tables each seat 5 people.
Which of the following can be used to find t, the greatest number of small tables that can be
filled when the large table is also filled?

Answer 1

140

140-15=125

125÷5=25

answer=25

Answer 2

To find the greatest number of small tables t filled with the large table, use the inequality 5t + 15
`\leq` 140. Therefore, option (b) 5t + 15
`\leq` 140 represents the correct condition for the maximum occupancy allowed by the building code.

To find the greatest number of small tables t that can be filled when the large table is also filled, you need to use an inequality that represents the total number of people being less than or equal to the maximum allowed (140).

The large table sits 15 people, and each small table sits 5 people. So, the total number of people seated in both the large and small tables is
`\(15 + 5t\)`.

Therefore, the correct inequality is:

`\[15 + 5t \leq 140\]`

This can be written as:

`\[5t + 15 \leq 140\]`

So, the correct option is (b) 5t + 15
`\leq` 140.

The complete question is:

A building code allows a maximum of 140 people in a meeting room. 1 point There is one large table in the room that sits 15 people. The smaller tables seat 5 people per table.' Maximum: 140 people Which of the following can be used to find the GREATEST number of small tables that can be filled when the large table is also filled?

a. 5t+15≥ 140

b. 5t+15≤ 140

c. 15t+5≥ 140

d. 15t+5≤ 140