Question

Таня и Маша купили одинаковое число почтовых наборов. Таня заплатила 90 руб., а Маша на 5 руб. больше. Сколько стоит один набор? Сколько наборов купила каждая?

Answer 1

 1) 90 + 5 = 95 (руб.) - заплатила Маша.
2) НОД ( 90 и 95) = 5 (руб.) – цена 1 набора.
3) 980 / 5 = 18 (наборов) – купила Таня.
4) 95 / 5 = 19 (наборов) – купила Маша.
Ответ: один набор стоит 5 рублей, Таня купила 18 наборов,Маша  купила 19 наборов. 

Answer 2

Problem Analysis

We are given that Tanya and Masha bought the same number of postal sets. Tanya paid 90 rubles for her set, while Masha paid 5 rubles more. We need to find the cost of one set and the number of sets each person bought.

Solution

Let's assume the cost of one postal set is x rubles. Since Tanya paid 90 rubles for her set, we can set up the equation:

x = 90 We are also given that Masha paid 5 rubles more than Tanya, so Masha paid x + 5 rubles for her set.

Since both Tanya and Masha bought the same number of sets, we can set up another equation:

x + 5 = 90 Now we can solve this system of equations to find the value of x and then calculate the number of sets each person bought.

Calculation

Let's solve the system of equations:

x = 90 x + 5 = 90 Subtracting the second equation from the first equation, we get:

x - (x + 5) = 90 - 90

Simplifying, we have:

x - x - 5 = 0

-5 = 0

This equation is not possible, as it leads to a contradiction. Therefore, there is no solution to this problem.

Conclusion

Based on the given information, it is not possible to determine the cost of one postal set or the number of sets each person bought.