Question

Для путешествия по реке отряда в 46 человек приготовили шестиместные и четырёхместные лодки. сколько было тех и других лодок если отряд разместился в 10 лодках и свободных мест не осталось?

Answer 1

1.7 лодок по 4 человека=28 чел

2.3 лодки по 6 человек=18 чел

всего 46 чел

Answer 2

Calculation of the Number of Boats

To determine the number of six-seater and four-seater boats needed for a group of 46 people, we can set up an equation based on the given information. Let's assume there are x six-seater boats and y four-seater boats.

The total number of people that can be accommodated in the six-seater boats is 6x, and the total number of people that can be accommodated in the four-seater boats is 4y. Since the group consists of 46 people, we can write the equation:

6x + 4y = 46

We also know that the group was able to fit into a total of 10 boats, so we have another equation:

x + y = 10

To solve this system of equations, we can use substitution or elimination. Let's use the elimination method:

Multiplying the second equation by 4, we get:

4x + 4y = 40

Subtracting this equation from the first equation, we eliminate the variable y:

(6x + 4y) - (4x + 4y) = 46 - 40

Simplifying, we have:

2x = 6

Dividing both sides by 2, we find:

x = 3

Substituting this value back into the second equation, we can solve for y:

3 + y = 10

y = 7

Therefore, there are 3 six-seater boats and 7 four-seater boats.

Answer

For the trip with a group of 46 people, there were 3 six-seater boats and 7 four-seater boats, totaling 10 boats.