Question

В первой стопке лежало 58 учебников, а во второй 76 учебников. Причем, за первую стопку заплатили на 3600 руб. меньше, чем за вторую. Сколько рублей заплатили за первую стопку учебников и сколько за вторую?

Answer 1

Ответ:

11600, 15200

Пошаговое объяснение:

$76 - 58 = 18 \\ 3600 \div 18 = 200 \\ 200 \times 58 = 11600 \\ 200 \times 76 = 15200$

Answer 2

Ответ:

11600 руб, 15200 руб.

Пошаговое объяснение:

на 76-58=18 (уч.) меньше лежало в первой стопке

3600:18=200 (руб.) цена одного учебника

200*58=11600 (руб.) заплатили за первую стопку

200*76=15200 (руб.) заплатили за вторую стопку

Answer 3

Problem Analysis

We are given two stacks of textbooks: the first stack contains 58 textbooks, and the second stack contains 76 textbooks. We also know that the first stack was purchased for 3600 rubles less than the second stack. We need to determine the amount paid for each stack.

Solution

Let's assume the cost of the first stack is x rubles. Since the second stack was purchased for 3600 rubles more, the cost of the second stack can be represented as x + 3600 rubles.

We can set up the following equation to represent the given information:

x + (x + 3600) = total amount paid

Simplifying the equation:

2x + 3600 = total amount paid

Now, we can substitute the number of textbooks in each stack into the equation:

2x + 3600 = 58x + 76x

Simplifying further:

2x + 3600 = 134x

Rearranging the equation:

134x - 2x = 3600

Simplifying:

132x = 3600

Dividing both sides by 132:

x = 27.27

Since we cannot have a fraction of a textbook, we can round the value of x to the nearest whole number, which is 27. This means that the cost of the first stack is 27 rubles per textbook.

To find the total amount paid for the first stack, we can multiply the cost per textbook by the number of textbooks:

Total amount paid for the first stack = 27 rubles/textbook * 58 textbooks = 1566 rubles

To find the total amount paid for the second stack, we can use the equation:

Total amount paid for the second stack = Total amount paid - Total amount paid for the first stack

Total amount paid for the second stack = (27 rubles/textbook * 58 textbooks) + 3600 rubles = 5166 rubles

Therefore, the amount paid for the first stack of textbooks is 1566 rubles, and the amount paid for the second stack is 5166 rubles.

Answer

The first stack of textbooks was purchased for 1566 rubles, and the second stack was purchased for 5166 rubles.