Question

Составить систему уравненй по задачи: В двух табунах было 120 лошадей. Когда число лошадей в первом табуне увеличилось на 40%, а во втором уменьшилось на 10%, в первом табуне стало на 30 лошадей больше, чем во втором. Сколько лошадей было в каждом табуне? решать функцией

Answer 1

Х лошадей в 1 табуне 
у лошадей во 2 табуне 
1,4х  - стало в 1 табуне 
0,9у  - стало во 2 табуне 
Система уравнений 
{х + у = 120 
{1,4х - 0,9у = 30 

{у = 120 - х 
{1,4х - 0,9 * (120 - х) = 30 

{у = 120 - х 
{1,4х + 0,9х = 30 + 108 

2,3х = 138 
х = 138 : 2,3 
х = 60 лошадей в 1 табуне  
у = 120 - 60 = 60 лошадей во 2 табуне  
Ответ: 60;  60  

Answer 2

Formulating the Equations

To solve the problem, we can use a system of equations. Let's denote the initial number of horses in the first herd as x and the initial number of horses in the second herd as y. According to the problem, the total number of horses in both herds is 120. When the number of horses in the first herd increased by 40% and the number of horses in the second herd decreased by 10%, the number of horses in the first herd became 30 more than the number of horses in the second herd.

Writing the Equations

1. The total number of horses in both herds is 120: - x + y = 120.

2. When the number of horses in the first herd increased by 40% and the number of horses in the second herd decreased by 10%, the number of horses in the first herd became 30 more than the number of horses in the second herd: - 1.4x = 1.1y + 30.

Solving the Equations

We can solve this system of equations to find the values of x and y.

Let's proceed with solving these equations.