Question

ПОМОГИТЕ !!!!!!!!!!!!!!!!! В одной корзин было 4 целых 7/25 г яблок .Когда из неё взяли 1 целую 9/25 кг яблок то в корзин стало на 8/25 г меньше чем было во второй .Сколько яблок было в обоих корзинах первоначально

Answer 1

1)4 7/25-1 9/25=2 23/25(кг)
2)2 23/25+8/25=3 5/25(кг)
Ответ: в первой корзине было 4 7/25кг. во второй 3 5/25

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial number of apples in both baskets. We are given that one basket initially contained 4 whole apples and 7/25 kg of apples, and after taking out 1 whole apple and 9/25 kg of apples, the remaining amount in that basket was 8/25 kg less than the amount in the second basket.

Solution

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

From the given information, we can create the following equations:

Equation 1: x + 7/25 = y

This equation represents the initial amount of apples in the first basket plus the 7/25 kg of apples.

Equation 2: (x - 1) + (7/25 - 9/25) = y - 8/25

This equation represents the amount of apples in the first basket after taking out 1 whole apple and 9/25 kg of apples, which is 8/25 kg less than the amount in the second basket.

Now, let's solve these equations to find the values of x and y.

Solution Steps

Step 1: Simplify Equation 2 by combining like terms:

(x - 1) + (-2/25) = y - 8/25

x - 1 - 2/25 = y - 8/25

x - 2/25 - 1 = y - 8/25

x - 2/25 - 25/25 = y - 8/25

x - 27/25 = y - 8/25

Step 2: Substitute Equation 1 into the simplified Equation 2:

(x + 7/25) - 27/25 = y - 8/25

x + 7/25 - 27/25 = y - 8/25

x - 20/25 = y - 8/25

x - 4/5 = y - 8/25

Step 3: Multiply both sides of the equation by 25 to eliminate the fractions:

25(x - 4/5) = 25(y - 8/25)

25x - 20 = 25y - 8

Step 4: Simplify the equation:

25x - 20 = 25y - 8

25x - 25y = 20 - 8

25x - 25y = 12

Step 5: Divide both sides of the equation by 25:

(x - y) = 12/25

Step 6: Substitute the value of (x - y) from Step 5 into Equation 1:

x + 7/25 = y

(x - y) + 7/25 = y

12/25 + 7/25 = y

19/25 = y

Step 7: Substitute the value of y from Step 6 into Equation 1 to find x:

x + 7/25 = 19/25

x = 19/25 - 7/25

x = 12/25

Answer

The initial number of apples in the first basket was 12/25 and the initial number of apples in the second basket was 19/25.