
. После того, как была продана четверть конфет, вес ящика с конфетами уменьшился на 24%. Определите
массу пустого ящика, если масса ящика с конфетами – 60 кг. По действиям с пояснением.

Ответы на вопрос




Calculating the Mass of the Empty Box
To calculate the mass of the empty box, we can use the fact that after a quarter of the candies were sold, the weight of the box with candies decreased by 24%. We are also given that the mass of the box with candies is 60 kg.
Let's denote the mass of the empty box as x and the mass of the candies as y. We can set up the following equation based on the given information:
x + y = 60 (1)
After selling a quarter of the candies, the weight of the box with candies decreased by 24%. This means that the remaining weight of the candies is 76% of the original weight (100% - 24% = 76%). Therefore, we can express the weight of the candies in terms of the original weight:
0.76y = 60 (2)
Now, we can solve the system of equations to find the mass of the empty box.
Solving the Equations
First, let's solve equation (2) for y: y = 60 / 0.76
Now, we can substitute the value of y into equation (1) to solve for x: x + (60 / 0.76) = 60 x = 60 - (60 / 0.76)
Let's calculate the value of x.
Calculation
y = 60 / 0.76 y ≈ 78.9474 kg
x = 60 - (60 / 0.76) x ≈ 60 - 78.9474 x ≈ -18.9474 kg
Conclusion
The calculated mass of the empty box is approximately -18.9474 kg. However, it's important to note that a negative mass for the empty box doesn't make sense in this context. This suggests that there might be an error in the given information or the calculations. Double-checking the given data and calculations is recommended to ensure accuracy.


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