Question

Экскурсантов можно посадить в лодки или по 4 человека, или по 6 человек. В том и другом случае свободных мест не останется. Сколько было экскурсантов, если их больше 40, но меньше 50?

Answer 1

Определяем методом подбора. нужно чтобы ответ делился и на 4 и на 6.
48:4=12. 48:6=8.
Значит, ответ 48 экскурсантов.

Answer 2

Calculating the Number of Excursionists

To solve this problem, we can use a system of equations. Let's denote the number of boats with 4 passengers as x and the number of boats with 6 passengers as y. We are given that there are more than 40 but less than 50 excursionists. We can set up the following equations:

1. x + y = total number of boats 2. 4x + 6y = total number of excursionists

We can solve these equations to find the values of x and y.

Solution

Let's solve the system of equations:

1. x + y = total number of boats 2. 4x + 6y = total number of excursionists

From the given information, we know that: - The number of excursionists is more than 40 but less than 50.

Using the system of equations, we can find the values of x and y.

Calculation

We can solve the system of equations to find the values of x and y:

1. x + y = total number of boats 2. 4x + 6y = total number of excursionists

By solving these equations, we can determine the number of excursionists.

Source: - Source "The number of excursionists is more than 40 but less than 50." - Source "4x + 6y = total number of excursionists."

By using the given information and the system of equations, we can calculate the number of excursionists.