Question

В трёх ящиках находятся яблоки.Когда в первый ящик положили 3,6 кг яблок, то в нём стало 9,5 кг. Когда из 2-ого ящика переложили в третий ящик 2,5 кг яблок и из третьего ящика продали 1,75 кг яблок, то масса яблок в трёх ящиков стала ровной. Сколько килограммов яблок было в каждом ящике первоначально?

Answer 1

 равная масса всех ящиков 9,5 кг

1 ящик 9,5-3,6=5,9

2 ящик 9,5+2,5=12

3 ящик 9,5 +1,75-2,5=8,75

Answer 2

Problem Analysis

We are given three boxes containing apples. We need to determine the initial weight of apples in each box based on the given information.

Given Information

- When 3.6 kg of apples were added to the first box, its total weight became 9.5 kg. - When 2.5 kg of apples were transferred from the second box to the third box, and then 1.75 kg of apples were sold from the third box, the total weight of apples in the three boxes became equal.

Solution

Let's assume the initial weights of apples in the three boxes are x, y, and z kilograms, respectively.

Based on the given information, we can form the following equations:

Equation 1: x + 3.6 = 9.5 Equation 2: y - 2.5 + 1.75 = 9.5 Equation 3: z + 2.5 - 1.75 = 9.5

We can solve these equations to find the values of x, y, and z.

Solving the Equations

Let's solve Equation 1 to find the value of x:

x + 3.6 = 9.5 x = 9.5 - 3.6 x = 5.9 kg

Now, let's solve Equation 2 to find the value of y:

y - 2.5 + 1.75 = 9.5 y - 0.75 = 9.5 y = 9.5 + 0.75 y = 10.25 kg

Finally, let's solve Equation 3 to find the value of z:

z + 2.5 - 1.75 = 9.5 z + 0.75 = 9.5 z = 9.5 - 0.75 z = 8.75 kg

Answer

The initial weights of apples in each box were as follows: - The first box initially contained 5.9 kg of apples. - The second box initially contained 10.25 kg of apples. - The third box initially contained 8.75 kg of apples.

Please let me know if you need any further assistance!