Question

The new theater has 465 seats arranged into

sections. If there are 17 sections in the theater, how many seats
could be in each section?

Answer 1

To find out how many seats are in each section, divide the total number of seats by the number of sections using long division. In this case, there would be 27 seats in each section.

Step-by-step explanation:

To find out how many seats are in each section, we need to divide the total number of seats (465) by the number of sections (17). This can be done using long division:

1. Place the number of seats (465) inside the division symbol and the number of sections (17) outside the division symbol.
2. Divide the first digit, 4, by 17. The result is 0 with a remainder of 4.
3. Bring down the next digit, 6, to the right of the remainder 4. Now we have 46.
4. Divide 46 by 17. The result is 2 with a remainder of 12.
5. Bring down the last digit, 5, to the right of the remainder 12. Now we have 125.
6. Divide 125 by 17. The result is 7 with a remainder of 6.
7. Since there are no more digits to bring down, the division is finished. The final result is 27, meaning that there would be 27 seats in each section of the theater.