Question

(500+х) *0,15 =0,4х решите и объясните каждый шаг пожалуйста

Answer 1

( 500 + Х ) • 0,15 = 0,4х
500 + Х = 0,4х : 0,15
0,4 : 0,15 = 40/15 = 8/3 = 2 2/3
500 + Х = 2 2/3х
2 2/3х - Х = 500
1 2/3х = 500
Х = 500 : 1 2/3
Х = 500 : ( 5/3 )
Х = 300/5
Х = 60

Answer 2

Solving the Equation

To solve the equation (500 + x) * 0.15 = 0.4x, we can follow these steps:

1. Distribute the 0.15: - The equation becomes 75 + 0.15x = 0.4x.

2. Isolate the Variable: - Subtract 0.15x from both sides: 75 = 0.4x - 0.15x. - Simplify: 75 = 0.25x.

3. Solve for x: - Divide both sides by 0.25: x = 75 / 0.25. - Calculate: x = 300.

Explanation of Each Step

1. Distribute the 0.15: - The equation (500 + x) * 0.15 = 0.4x can be simplified by distributing the 0.15 to both terms inside the parentheses. This gives us 75 + 0.15x = 0.4x. This step is a basic application of the distributive property.

2. Isolate the Variable: - To solve for x, we need to isolate it on one side of the equation. By subtracting 0.15x from both sides of the equation, we get 75 = 0.4x - 0.15x, which simplifies to 75 = 0.25x. This step involves basic algebraic manipulation.

3. Solve for x: - To find the value of x, we divide both sides of the equation by 0.25, giving us x = 75 / 0.25. When we calculate this, we get x = 300. This step is straightforward arithmetic.

So, the solution to the equation (500 + x) * 0.15 = 0.4x is x = 300.