Question

В двух ящиках 84 кг яблок. когда из первого ящика переложили во во второй 15 яблок ,то во втором ящике стало в три раза больше яблок чем в первом. сколько яблок было в каждом ящике до перекладывания ?

Answer 1

Х кг яблок в одном ящике;
(84-х) кг в другом ящике.
3(х-15)=84-х+15;
4х=144;
х=36 кг в одно ящике;
84-36=48 кг в другом ящике.

Answer 2

Problem Analysis

We are given two boxes containing a total of 84 kg of apples. When 15 apples are transferred from the first box to the second box, the number of apples in the second box becomes three times the number of apples in the first box. We need to determine the number of apples in each box before the transfer.

Solution

Let's assume that the number of apples in the first box is x and the number of apples in the second box is y.

From the given information, we can form two equations: 1. The total weight of the apples in both boxes is 84 kg: x + y = 84. 2. When 15 apples are transferred from the first box to the second box, the number of apples in the second box becomes three times the number of apples in the first box: y + 15 = 3x.

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

Solving the Equations

Let's solve the equations using the substitution method.

From equation 2, we can express y in terms of x: y = 3x - 15.

Substituting this value of y into equation 1, we get: x + (3x - 15) = 84.

Simplifying the equation: 4x - 15 = 84.

Adding 15 to both sides: 4x = 99.

Dividing both sides by 4: x = 24.75.

Substituting this value of x into equation 1, we get: 24.75 + y = 84.

Simplifying the equation: y = 59.25.

Answer

Before the transfer, there were approximately 24.75 apples in the first box and approximately 59.25 apples in the second box.

Please note that the number of apples cannot be in decimal values, so we can round the values to the nearest whole number. Therefore, there were approximately 25 apples in the first box and approximately 59 apples in the second box before the transfer.