
В трех пакетах был творог .когда из первого пакета взяли 1\4 кг. из второго 7\10 кг. а из третьего
3\4 то в каждом пакете сталось по 1 3\5 кг. сколько творога было в каждом пакете ??

Ответы на вопрос




Calculation of the Amount of Cottage Cheese in Each Package
To calculate the amount of cottage cheese in each package, we need to consider the amounts taken from each package and the resulting weight after the removal.
Let's denote the initial weight of the cottage cheese in the first package as x kg, in the second package as y kg, and in the third package as z kg.
According to the given information, the following amounts were taken from each package:
- 1/4 kg from the first package - 7/10 kg from the second package - 3/4 kg from the third package
After the removal, each package was left with 1 3/5 kg of cottage cheese.
To find the initial weight of the cottage cheese in each package, we can set up the following equations:
Equation 1: x - 1/4 = 1 3/5 Equation 2: y - 7/10 = 1 3/5 Equation 3: z - 3/4 = 1 3/5
Let's solve these equations to find the values of x, y, and z.
Solving the Equations
To solve the equations, we can convert the mixed numbers to improper fractions:
Equation 1: x - 1/4 = 8/5 Equation 2: y - 7/10 = 8/5 Equation 3: z - 3/4 = 8/5
Now, we can add 1/4 to both sides of Equation 1, 7/10 to both sides of Equation 2, and 3/4 to both sides of Equation 3:
Equation 1: x = 8/5 + 1/4 Equation 2: y = 8/5 + 7/10 Equation 3: z = 8/5 + 3/4
Let's simplify these equations:
Equation 1: x = 41/20 Equation 2: y = 47/20 Equation 3: z = 43/20
Therefore, the initial weight of the cottage cheese in each package was:
- The first package: 41/20 kg - The second package: 47/20 kg - The third package: 43/20 kg
Answer
So, there was 41/20 kg of cottage cheese in the first package, 47/20 kg in the second package, and 43/20 kg in the third package.
Please note that the given information does not specify the total weight of the cottage cheese in all three packages combined. We have only calculated the initial weights of the cottage cheese in each individual package based on the given amounts taken and the resulting weights.


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