SOLUTION: An event organizer is reserving rooms for two company-wide events. For the quarterly meeting this month, she reserved 3 conference rooms and 5 ballrooms, which can seat a total of

Question 1116660: An event organizer is reserving rooms for two company-wide events. For the quarterly meeting this month, she reserved 3 conference rooms and 5 ballrooms, which can seat a total of 379 attendees. For safety training next month, she reserved 3 conference rooms and 4 ballrooms, which can seat 314 attendees. How many attendees can each room accommodate?
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
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An event organizer is reserving rooms for two company-wide events.
For the quarterly meeting this month, she reserved 3 conference rooms and 5 ballrooms, which can seat a total of 379 attendees.
For safety training next month, she reserved 3 conference rooms and 4 ballrooms, which can seat 314 attendees.
How many attendees can each room accommodate?
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This problem is for mental solution.

    1.  After reading the text, you should see that the difference of 379 - 314 = 65 is exactly the capacity of one ballroom.


    2.  Then the capacity of each conference room is one third of   314-4*65,  or   = 18.


Answer.  18 persons for each conference room and  65 persons for each ballroom.

Solved.

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- Solving mentally word problems on two equations in two unknowns
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