Question

масса трех арбузов равна 18 кг,масса первого арбуза в 1,2 раза больше массы второго и в 1,5 раза меньше массы третьего арбуза.какова масса каждого

Answer 1

1 арбуз -1,2x
2 арбуз -x
3 арбуз -1,5*(1,2x)
Всего-18 кг
Составим уравнение:
1,2x+x+1,5*(1,2x)=18
2,2x+1,8x=18
4x=18
x=4,5   -2 арбуз

Ответ:
1,2x=5,4  -1 арбуз
x=4,5              -2 арбуз
1,5*(1,2x)=1,5*5,4=8,1  -3 арбуз

Answer 2

Рассмотрим арбузы 
1 арбуз - х 
2 арбуз - х/1,2 
3 арбуз - х/1,5 

х+х/1,2+х/1,5=18 |*1,2*1,5 

1,8х+1,5х+1,2х=32,4 
4,5х=32,4 
х=7,2(кг) 
2 арбуз=7,2/1,2=6 (кг) 
3 арбуз=7,2/1,5=4,8(кг) 

Ответ: 1 арбуз -7,2кг; 2 арбуз -6 кг; 3 арбуз -4,8 кг

Answer 3

Problem Analysis

We are given the following information: - The total mass of three watermelons is 18 kg. - The mass of the first watermelon is 1.2 times greater than the mass of the second watermelon. - The mass of the first watermelon is 1.5 times smaller than the mass of the third watermelon.

We need to find the mass of each watermelon.

Solution

Let's assume the mass of the second watermelon is x kg.

According to the given information: - The mass of the first watermelon is 1.2 times greater than the mass of the second watermelon, so its mass is 1.2x kg. - The mass of the first watermelon is 1.5 times smaller than the mass of the third watermelon, so the mass of the third watermelon is 1.5 * (1.2x) = 1.8x kg.

The sum of the masses of the three watermelons is 18 kg, so we can write the equation:

x + 1.2x + 1.8x = 18

Simplifying the equation:

4x = 18

Solving for x:

x = 18 / 4 = 4.5

Therefore, the mass of the second watermelon is 4.5 kg.

Using this value, we can find the masses of the other two watermelons: - The mass of the first watermelon is 1.2 * 4.5 = 5.4 kg. - The mass of the third watermelon is 1.8 * 4.5 = 8.1 kg.

So, the mass of each watermelon is: - The first watermelon: 5.4 kg - The second watermelon: 4.5 kg - The third watermelon: 8.1 kg

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