Question

An event organizer is reserving rooms for two company-wide events. For the quarterly meeting this month, she reserved $3$ conference rooms and $1$ ballroom, which can seat a total of $110$ attendees. For safety training next month, she reserved $1$ ballroom, which can seat $65$ attendees. How many attendees can each room accommodate?

• A. Each conference room can accommodate $15$ attendees
• B. Every ballroom can accommodate $15$ attendees.
• C. Each conference room can accommodate $65$ attendees
• D. Every ballroom can accommodate $65$ attendees.

Answer 1

Answer: (A), (D)

Each conference room can accommodate $15$ attendees
Every ballroom can accommodate $65$ attendees.

Given

$3$ conference $+1$ ball room $=110$ attendees $-1$

$1$ ball room $=65$ attendees $-2$

From equation $2$ every ball room can accommodate $65$ attendees

Option D is correct

Option B is incorrect

For the first equation

$3$ conference $+1$ ballroom$=110$ attendees

$3$ conference halls $=45$ attendees

Each conference hall can accommodate $15$ attendees

Option A is correct

Option C is incorrect