Question

В каждом ряду школьного актового зала одно и тоже число мест.на награждение победителей интеллектуального марафона прибыло 45 гостей,которые полностью заняли 3 ряда зала.Сколько зрителей могут полностью заполнить 6 рядов зала?Реши задачу двумя способами СРОЧНО

Answer 1

1-й способ
1) 45:3=15 мест в ряду
2) 15×6=90 зрителей займут ровно 6 рядов

2-й способ
6:3=2 - во сколько раз увеличилось кол-во мест
45×2=90 зрителей заняло ровно 6 рядов

Ответ: 90 зрителей.

Answer 2

Problem Analysis

We are given that in each row of a school auditorium, there is the same number of seats. Additionally, 45 guests arrived for an intellectual marathon and completely filled 3 rows of the auditorium. We need to determine how many spectators can completely fill 6 rows of the auditorium.

Solution 1: Using Algebra

Let's assume that the number of seats in each row is represented by the variable `x`. Since there are the same number of seats in each row, the total number of seats in 3 rows is `3x`. We are told that 45 guests completely filled these 3 rows, so we can set up the equation:

`3x = 45`

To find the number of spectators that can completely fill 6 rows, we need to find the value of `6x`. We can solve for `x` by dividing both sides of the equation by 3:

`x = 45 / 3 = 15`

Now, we can find the number of spectators that can completely fill 6 rows:

`6x = 6 * 15 = 90`

Therefore, 90 spectators can completely fill 6 rows of the auditorium.

Solution 2: Using Multiplication

We are given that 45 guests completely filled 3 rows of the auditorium. To find the number of spectators that can completely fill 6 rows, we can use the concept of proportionality.

If 45 guests filled 3 rows, then the ratio of guests to rows is `45/3`. We can use this ratio to find the number of guests that can fill 6 rows:

`(45/3) * 6 = 15 * 6 = 90`

Therefore, 90 spectators can completely fill 6 rows of the auditorium.

Conclusion

Using both algebraic equations and the concept of proportionality, we have determined that 90 spectators can completely fill 6 rows of the school auditorium.