Question

В каждом из пяти прицепов лежит одинаковое число арбузов. Если из каждого прицепа вынуть по 30 арбузов, то во всех прицепах останется столько арбузов, сколько их было раньше в трёх прицепах. Сколько арбузов было в каждом прицепе? Решение и объяснение пожалуйста.

Answer 1

х- было первоначально в каждом прицепе

х-30- стало в каждом прицепе

(х-30)+(х-30)+(х-30)+(х-30)+(х-30)=х+х+х

х-30+х-30+х-30+х-30+х-30=3х

5х-150=3х

5х-3х=150

2х=150

х=150/2

х=75

75 арб- было первоначально в каждом прицепе

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer 2

Problem Analysis

We are given that there are five trailers, and each trailer contains the same number of watermelons. If we remove 30 watermelons from each trailer, the remaining number of watermelons in all the trailers combined will be equal to the number of watermelons that were originally in three of the trailers. We need to determine the number of watermelons in each trailer.

Solution

Let's assume that there are x watermelons in each trailer.

According to the problem, if we remove 30 watermelons from each trailer, the remaining number of watermelons in all the trailers combined will be equal to the number of watermelons that were originally in three of the trailers.

Mathematically, we can represent this as:

5x - (30 * 5) = 3x

Simplifying the equation:

5x - 150 = 3x

Subtracting 3x from both sides:

2x = 150

Dividing both sides by 2:

x = 75

Therefore, there are 75 watermelons in each trailer.

Answer

There are 75 watermelons in each trailer.