Question

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

Answer 1

Answer: 45,000.

Explanation:

Let x be the total number seats in the arena.

The total number of seats are still available for the next hockey game=17100

The percent of seats sold = 62%

Then the percent of seats are available =100%-62%=38%

According to the question, we have

`38\%\ of \ x=17100\\\Rightarrow\ 0.38x=17100\\\Rightarrow\ x=(17100)/(0.38)\\\Rightarrow\ x=45,000`

Therefore, the total number of seats in the arena=45,000.

Answer 2

Based on the given problem above, it is said that there are still 17,100 seats that are available. 62% of the tickets are sold, so therefore, 38% of the tickets are not yet sold. Now, we need to find the number of seats in the arena.
Since the 38% = 17,100, we need now to find the 62% to determine the total number of seats. So 17,100 x 100/38 = 45,000. Therefore, the total number of seats of the arena is 45,000.