Question

Масса арбуза и трёх одинаковых дынь 10 кг. Дыня в 2 раза легче арбуза. Какова масса арбуза?

Answer 1

1 арбуз пусть это х 2х это дыня х+2х+2х=10 5х=10 Х=10/5 Х=2 кг - арбуз

Answer 2

Problem Analysis

We are given that the combined weight of one watermelon and three identical cantaloupes is 10 kg. Additionally, we are told that the cantaloupe is twice as light as the watermelon. We need to determine the weight of the watermelon.

Solution

Let's assume the weight of the watermelon is W kg. According to the given information, the weight of the cantaloupe is half of the watermelon's weight, so the weight of one cantaloupe is W/2 kg.

The combined weight of one watermelon and three cantaloupes is 10 kg. We can set up the following equation to represent this:

W + 3(W/2) = 10

Simplifying the equation:

W + 3W/2 = 10

Multiplying both sides of the equation by 2 to eliminate the fraction:

2W + 3W = 20

5W = 20

Dividing both sides of the equation by 5:

W = 4

Therefore, the weight of the watermelon is 4 kg.

Answer

The weight of the watermelon is 4 kg.