Question

У друзей 675 рублей на двоих. Если один из них отдаст другому 100 рублей, то у него останется в 1,5 раза меньше денег, чем станет у другого. Сколько денег у каждого?

Answer 1

Составим уравнение: 

х-100+1,5х =675

х+1,5х=675+100

 2,5х=775  

 х=775/2,5

 х=310

1)310-100=210(р.) у одного

2)1,5*310=465(р.) у второго

Проверка: 210+465=675(р.)

Ответ: 210 и 465 рублей. 

 

 

Answer 2

Problem Analysis

We are given that two friends have a total of 675 rubles. If one of them gives the other 100 rubles, the person who gave the money will have 1.5 times less money than the other person. We need to determine how much money each person has.

Solution

Let's assume that the first person has x rubles. According to the given information, the second person will have 675 - x rubles.

If the first person gives 100 rubles to the second person, they will have x - 100 rubles, and the second person will have 675 - x + 100 rubles.

According to the problem, the person who gave the money will have 1.5 times less money than the other person. Mathematically, we can express this as:

x - 100 = 1.5 * (675 - x + 100)

Now, we can solve this equation to find the values of x and 675 - x.

Calculation

Let's solve the equation:

x - 100 = 1.5 * (675 - x + 100)

Expanding the right side of the equation:

x - 100 = 1.5 * (775 - x)

Distributing 1.5:

x - 100 = 1162.5 - 1.5x

Combining like terms:

2.5x = 1262.5

Dividing both sides by 2.5:

x = 505

Now, we can find the value of 675 - x:

675 - x = 675 - 505 = 170

Answer

Therefore, the first person has 505 rubles, and the second person has 170 rubles.

First person: 505 rubles Second person: 170 rubles