Question

ПОМОЖІТЬ ЗДАТИ ТРЕБА СЬОГОДНІ ПОМОЖІТЬ!!!!!! в першому ящику було в 5 разів більше апельсинів, ніж у другому. Коли з першого ящика взяли 37 апельсинів, аз другого – 5, то в першому стало у 4 рази більше апельсинів , ніж у другому. Скільки апельсинів було в кожному ящику спочатку? ​

Answer 1

Відповідь:

у 1 ящику 35

у 2 ящику 7

Покрокове пояснення:

Answer 2

Solving the Problem of Oranges in Boxes

To solve this problem, we can use a system of linear equations. Let's denote the number of oranges in the first box as x and the number of oranges in the second box as y.

We are given the following information: 1. In the first box, there were 5 times more oranges than in the second box. 2. When 37 oranges were taken from the first box and 5 oranges were taken from the second box, the first box had 4 times more oranges than the second box.

Setting Up the Equations

Based on the given information, we can set up the following system of equations:

1. x = 5y (There were 5 times more oranges in the first box than in the second box initially) 2. (x - 37) = 4(y - 5) (After taking 37 oranges from the first box and 5 oranges from the second box, the first box had 4 times more oranges than the second box)

Solving the Equations

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

Let's start by solving equation (1) for x: x = 5y

Now, we can substitute the value of x from equation (1) into equation (2): (5y - 37) = 4(y - 5)

Solving for y: 5y - 37 = 4y - 20 y = 17

Now that we have found the value of y, we can find the value of x using equation (1): x = 5 * 17 x = 85

Conclusion

Therefore, there were 85 oranges in the first box and 17 oranges in the second box initially.