Question

Помогите пожалуйста! Проезд в Москве по карте "Тройка" в 2014 году стоил 28 рублей за одну поездку на метро и 26 рублей за одну поездку на наземном транспорте. Какое наименьшее суммарное число поездок можно было совершить по этим тарифам, потратив ровно 3800 рублей?

Answer 1

Средняя стоимость за два года
(26+28)/2 = 27 руб поездка
3800 : 27 = 140 (ост.20)  поездок - ОТВЕТ

Answer 2

Calculation of the Minimum Number of Trips

To calculate the minimum number of trips that can be made using the given fares, we need to determine the maximum number of trips that can be made on the metro and the maximum number of trips that can be made on surface transport (bus, tram, trolleybus) while spending exactly 3800 rubles.

Let's assume that x is the number of metro trips and y is the number of surface transport trips.

According to the information provided, the fare for one metro trip is 28 rubles, and the fare for one surface transport trip is 26 rubles.

To find the maximum number of trips, we need to divide the total amount of money (3800 rubles) by the fare for each type of transport.

The equation for the maximum number of metro trips (x) can be written as: x = 3800 / 28

The equation for the maximum number of surface transport trips (y) can be written as: y = 3800 / 26

Let's calculate the values of x and y:

x = 3800 / 28 = 135.71 (approximately) y = 3800 / 26 = 146.15 (approximately)

Since we cannot have a fraction of a trip, we need to round down the values of x and y to the nearest whole number.

Therefore, the maximum number of metro trips (x) is 135, and the maximum number of surface transport trips (y) is 146.

To find the minimum number of trips, we need to distribute the trips in a way that minimizes the total number of trips. One way to do this is to make the number of metro trips equal to the number of surface transport trips.

Since the maximum number of trips for both types of transport is 135, the minimum number of trips that can be made while spending exactly 3800 rubles is 135.

Therefore, the minimum number of trips that can be made while spending exactly 3800 rubles is 135 trips.