Question

На двох кущах сиділо 10 метеликів.Коли на перший прилетіло ще 4, то на обох кущах метеликів стало порівну.Скільки метеликів було на кожному кущі спочатку?

Answer 1

10+4=14(мет) - стало на двох кущах разом

14:2=7(мет) - стало на кожному кущі

7-4=3(мет) - сиділо на І кущі

Відповідь: на першому кущі сиділо 3 метелики, а на другому - 7.

Answer 2

х - на первом, у - на втором

х+у = 10, х+4= у 

Подставляем второе уравнение в первое:

х + (х+4) = 10

2х+4=10

х=3

Тогда у = х+4 = 7.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer 3

Problem Analysis

We are given that there were initially 10 butterflies sitting on two bushes. When 4 more butterflies flew to the first bush, the number of butterflies on both bushes became equal. We need to determine the initial number of butterflies on each bush.

Solution

Let's assume that the initial number of butterflies on the first bush was x and on the second bush was y. According to the given information, we can set up the following equation:

x + 4 = y

We also know that the total number of butterflies on both bushes after the additional butterflies arrived was 10. So we can set up another equation:

x + y + 4 = 10

Now we have a system of two equations with two variables. We can solve this system to find the values of x and y.

Solving the System of Equations

To solve the system of equations, we can use the method of substitution. We can rearrange the first equation to express y in terms of x:

y = x + 4

Substituting this expression for y into the second equation, we get:

x + (x + 4) + 4 = 10

Simplifying the equation:

2x + 8 = 10

Subtracting 8 from both sides:

2x = 2

Dividing both sides by 2:

x = 1

Now that we have the value of x, we can substitute it back into the first equation to find y:

y = 1 + 4 = 5

Therefore, there were initially 1 butterfly on the first bush and 5 butterflies on the second bush.

Answer

There were initially 1 butterfly on the first bush and 5 butterflies on the second bush.