Question

Покупал Иван на базаре калачи.Если бы он купил 3 калача,то у него осталось бы 5 копеек.А на 5 калачей не хватает 3 копейки.Сколько у него денег?Сколько стоит один калач?

Answer 1

5 коп.+3 коп.=8 коп.стоят 2 калача,следовательно,1 калач стоит 4 коп.
3 калача по 4 коп.=12 коп.
12+5 =17 коп. у него было

Answer 2

Один калач стоит 4 копейки

Answer 3

Problem Analysis

To solve this problem, we need to find the amount of money Ivan has and the cost of one kalach. We are given two pieces of information: 1. If Ivan had bought 3 kalaches, he would have 5 kopecks left. 2. If he had bought 5 kalaches, he would have been 3 kopecks short.

Let's denote the cost of one kalach as x and the total amount of money Ivan has as y.

Equations

We can form the following equations based on the given information: 1. If Ivan bought 3 kalaches, he would have 5 kopecks left: - 3x + 5 = y 2. If he bought 5 kalaches, he would have been 3 kopecks short: - 5x - 3 = y

Solving for the Cost of One Kalach and Ivan's Total Money

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

Let's proceed with the calculations.

Solution

Subtracting the second equation from the first, we get: - 3x + 5 - (5x - 3) = 0 - 3x + 5 - 5x + 3 = 0 - -2x + 8 = 0 - -2x = -8 - x = 4

Now that we have found the cost of one kalach (x), we can substitute this value into one of the original equations to find the total amount of money Ivan has (y).

Using the first equation: - 3*4 + 5 = y - 12 + 5 = y - 17 = y

Conclusion

Therefore, Ivan has 17 kopecks and the cost of one kalach is 4 kopecks.