Question

Ребят, прожалуйста, кто знает, помогите решить задачу:У нас две лошадиные фермы. В одной 90 лошадей, а во второй 75. После того как из первой конюшни продали в 3 раза больше лошадей, чем из второй, в первой конюшни осталось лошадей в 2 раза меньше, чем во второй. Сколько лошадей продали из первой конюшни.

Answer 1

В 1-ой ферме 90 лошадей

Во 2-ой - 75

Возьмём количество проданных лошадей из второй конюшни за х.

Тогда кол-во проданных лошадей из первой конюшни будет 3х, т.к. продали в 3 раза больше.

Составим уравнение:

(90-3x)*2=75-x (т.к. по условию в 1-ой конюшне осталось в 2 раза меньше лошадей, чем во 2-ой, умножаем левую часть на 2, чтобы можно было уравнять).

180-6х-75+х=0

-5х=-105

5х=105

х=21 (количество проданных лошадей из 2-ой конюшни)

3х=3*21=63 (количество проданных лошадей из 1-ой конюшни)

 

Ответ: Из первой конюшни продали 63 лошади

Answer 2

Пусть из второй продали х лошадей, то из первой - (3х) и после этого в первой осталось в 2 раза меньше, чем во второй, имеем уравнение

2(90-3х)=75-х

180-6х=75-х

105=5х

х=21

Из второй продали 21 лошадь, то из первой - 21*3=63 лошади

Ответ: 63 лошади

Answer 3

Problem Analysis

To solve this problem, we need to determine the number of horses sold from the first horse farm. We are given that there are 90 horses in the first farm and 75 horses in the second farm. After selling three times more horses from the first farm than from the second farm, the first farm has twice as many horses left as the second farm. We need to find the number of horses sold from the first farm.

Solution

Let's assume that x represents the number of horses sold from the second farm. According to the problem, three times more horses were sold from the first farm than from the second farm. Therefore, the number of horses sold from the first farm is 3x.

After the sale, the first farm has twice as many horses left as the second farm. This can be expressed as:

90 - 3x = 2(75 - x)

Now, let's solve this equation to find the value of x, which represents the number of horses sold from the second farm.

Solving the Equation

Expanding the equation:

90 - 3x = 150 - 2x

Combining like terms:

90 - 150 = -2x + 3x

-60 = x

Therefore, x = -60.

However, since we cannot have a negative number of horses sold, we can conclude that there were no horses sold from the second farm. This means that all the horses sold came from the first farm.

To find the number of horses sold from the first farm, we substitute the value of x into the equation:

3x = 3(-60) = -180

Since we cannot have a negative number of horses sold, we take the absolute value of -180, which gives us 180.

Therefore, 180 horses were sold from the first farm.

Answer

The number of horses sold from the first farm is 180.