Question

Из медовой реки в замок доставили мёд в трёх и пятилитровых бочонках . всего 8 бочонков .мёда во всех трёхлитровый бочонках столько же сколько во всех пятилитровых бочонках .сколько было тех и других бочонков ? 4 класс

Answer 1

х - количество трехлитровых бочонков
у - количество пятилитровых бочоноков

х+у=8
3х=5у

х=8-у
3(8-у) =5у
24-3у=5у
24=8у
у=3
х=5

Answer 2

Problem Analysis

We are given that honey was delivered to a castle from a honey river in three-liter and five-liter barrels. There were a total of 8 barrels, and the amount of honey in all the three-liter barrels is the same as the amount of honey in all the five-liter barrels. We need to determine the number of barrels of each type.

Solution

Let's assume the number of three-liter barrels is x and the number of five-liter barrels is y.

From the given information, we can form the following equations: 1. The total number of barrels: x + y = 8. 2. The amount of honey in all the three-liter barrels is the same as the amount of honey in all the five-liter barrels.

To solve this system of equations, we need to find the values of x and y that satisfy both equations.

Solving the System of Equations

To find the values of x and y, we can use substitution or elimination method. Let's use the elimination method.

From equation 1, we have x + y = 8. We can rewrite this equation as x = 8 - y.

Substituting this value of x into equation 2, we get 3x = 5y.

Now, we can substitute the value of x from equation 1 into equation 2: 3(8 - y) = 5y.

Simplifying the equation: 24 - 3y = 5y.

Bringing all the y terms to one side: 24 = 8y.

Dividing both sides by 8: y = 3.

Substituting this value of y into equation 1: x + 3 = 8.

Simplifying the equation: x = 5.

Therefore, there were 5 three-liter barrels and 3 five-liter barrels.

Answer

There were 5 three-liter barrels and 3 five-liter barrels.

Please let me know if I can help you with anything else.