Question

На пути от дома к озеру, Андрей встретил друга.Они вместе прошли оставшиеся 300 метров,что составило две пятых расстояния от дома Андрея до озера. На каком расстоянии от дома Андрея находится озеро.

Answer 1

$300: \frac{2}{5} =300* \frac{5}{2} =150*5=750$м расстояние от дома до озера

Answer 2

Problem Analysis

Andrey met his friend on the way from home to the lake. They walked together for the remaining 300 meters, which is two-fifths of the distance from Andrey's home to the lake. We need to determine the distance from Andrey's home to the lake.

Solution

Let's assume the distance from Andrey's home to the lake is represented by the variable x.

According to the problem statement, Andrey and his friend walked together for the remaining 300 meters, which is two-fifths of the distance from Andrey's home to the lake. This can be expressed as:

300 = (2/5) * x

To find the value of x, we can solve this equation.

Calculation

To solve the equation, we can multiply both sides by 5/2 to isolate x:

300 * (5/2) = (2/5) * x * (5/2)

Simplifying the equation:

750 = x

Therefore, the distance from Andrey's home to the lake is 750 meters.

Answer

The lake is located at a distance of 750 meters from Andrey's home.