Question

PART 2#. URGENT

A total of 17,100 seats are still available for the next hockey game. If 62% of the tickets are sold, how many seats are in the arena?



3. Draw a picture or chart that shows the information and the question.

2

Select the correct answer.

A.

27,900 seats

B.

45,000 seats

C.

7,900 seats

D.

7,100 seats

Answer 1

I hope I didn’t misinterpret this, from what I understand, 62% of seats have already been purchased with tickets, leaving only 17,100 open. So you are looking for the base of the ratio, the total seat capacity.

Based on this, the total number of seats in the arena is: B. 45,000 seats.
100% - 62% = 38%, also written as 0.38. Then, 17,100/0.38 = 45,000.

Furthermore, you can find how many seats have been purchased (assuming 1 ticket = 1 seat). 45,000 x 0.62 = 27,900 seats. To check, 27,900 + 17,100 = 45,000 (true!).

I wasn’t sure how to show this as a picture so I tried my best to make a bar graph/chart. The values have a greatest common factor of 900 so each tick mark is equal to 900 seats.

I hope this helps: