Question

В театральном зале 20 рядов, по 45 мест в каждом. В каком ряду расположено место No535? После реконструкции зала число рядов уменьшилось на 10%, а число место в ряду на 20%. В каком ряду теперь расположено место No535?

Answer 1

535: 45 = 11 (ост 40) - значит место 535 в 11 ряду
20 -(20:100*10% ) = 20-2 = 18 (рядов) осталось после реконструкции
45-(45:100*20%) = 45-9 = 36(мест) в каждом ряду после реконструкции
535:36 = 14 (ост 31) - значит место 535 в 14 ряду после реконструкции

Answer 2

Problem Analysis

We are given a theater hall with 20 rows, each containing 45 seats. We need to determine the row in which seat No. 535 is located. After the reconstruction of the hall, the number of rows decreased by 10%, and the number of seats in each row decreased by 20%. We need to find the new row in which seat No. 535 is located.

Solution

To solve this problem, we need to calculate the new number of rows and the new number of seats in each row after the reconstruction. Then, we can determine the row in which seat No. 535 is located.

Let's calculate the new number of rows after the reconstruction: - 10% of 20 rows is 2 rows (20 * 0.10 = 2). - Subtracting 2 from 20 gives us 18 rows after the reconstruction.

Now, let's calculate the new number of seats in each row after the reconstruction: - 20% of 45 seats is 9 seats (45 * 0.20 = 9). - Subtracting 9 from 45 gives us 36 seats in each row after the reconstruction.

To find the row in which seat No. 535 is located, we can divide the seat number by the new number of seats in each row and round up to the nearest whole number. This will give us the row number.

Let's calculate the row number for seat No. 535: - 535 divided by 36 is approximately 14.86. - Rounding up to the nearest whole number gives us 15.

Therefore, after the reconstruction, seat No. 535 is located in row number 15.

Conclusion

After the reconstruction of the theater hall, seat No. 535 is located in row number 15.