Question

за две недели Костя потратил 28 кусков сахара.это треть тех запасов сахара,которые у него были.сколько кусков сахара у Кости осталось?На сколько недель хватит этих запасов,если каждую неделю щенок будет получать в 2 раза меньше сахара,чем в первую неделю?

Answer 1

28*3=84 куска сахара было

84-28=56 кусков сахара осталось

28/2=14 кусков будет получать щенок в неделю

56/14=4 недели хватит сахара

Answer 2

28кусков - 1/3

1)3/3 = 28*3 = 84 куска всего было

2)84-28=56 кусков осталось

3)28/2=14 кусков будет тратить в неделю

4)56/14=4 нед

Ответ осталось 56 кусков; на 4 недель.

Answer 3

Calculation of Remaining Sugar Cubes

To calculate the number of sugar cubes remaining after Kostya spent 28 cubes, we need to determine the total number of sugar cubes he initially had. According to the information provided, the 28 cubes represent one-third of his total sugar cube supply.

Let's denote the total number of sugar cubes as x. We can set up the following equation to represent the given information:

28 = (1/3)x

To solve for x, we can multiply both sides of the equation by 3:

3 * 28 = x

Simplifying the equation:

84 = x

Therefore, Kostya initially had 84 sugar cubes.

To calculate the number of sugar cubes remaining, we subtract the amount spent from the initial supply:

Remaining sugar cubes = Initial supply - Amount spent

Remaining sugar cubes = 84 - 28

Remaining sugar cubes = 56

So, Kostya has 56 sugar cubes remaining.

Duration of Sugar Cube Supply

To determine how long Kostya's sugar cube supply will last, we need to calculate the number of weeks based on the given information. It is stated that each week, the puppy will receive half the amount of sugar cubes compared to the previous week.

Let's denote the number of weeks as n. In the first week, the puppy receives a certain amount of sugar cubes. In the subsequent weeks, the amount of sugar cubes received will be halved.

The number of sugar cubes received in the first week is given as x.

In the second week, the puppy will receive x/2 sugar cubes. In the third week, the puppy will receive (x/2)/2 sugar cubes. In the fourth week, the puppy will receive ((x/2)/2)/2 sugar cubes.

This pattern continues for n weeks.

To calculate the total number of sugar cubes received over n weeks, we can use the formula for the sum of a geometric series:

Total sugar cubes = x + x/2 + (x/2)/2 + ((x/2)/2)/2 + ...

The sum of this geometric series can be calculated using the formula:

Total sugar cubes = x * (1 - (1/2)^n) / (1 - 1/2)

Since we know that the total sugar cubes is equal to 84 (the initial supply), we can set up the following equation:

84 = x * (1 - (1/2)^n) / (1 - 1/2)

Simplifying the equation:

84 = x * (1 - (1/2)^n) / (1/2)

Multiplying both sides of the equation by (1/2):

168 = x * (1 - (1/2)^n)

To solve for n, we can isolate the exponent:

(1/2)^n = 1 - (168 / x)

Taking the logarithm of both sides:

n * log(1/2) = log(1 - (168 / x))

Simplifying the equation:

n = log(1 - (168 / x)) / log(1/2)

Substituting the value of x (84) into the equation:

n = log(1 - (168 / 84)) / log(1/2)

Simplifying further:

n = log(1 - 2) / log(1/2)

n = log(-1) / log(1/2)

At this point, we encounter an error because the logarithm of a negative number is undefined. Therefore, we cannot determine the number of weeks based on the given information.

Please provide additional information or clarify the problem statement so that we can assist you further.