Question

Жетон на метро стоит х копеек, а билет на автобус или троллейбус y копеек. Сколько денег потратит Катя на проезд до библиотеки и обратно, если ей нужно проехать на метро, потом две остановки на автобусе и одну на троллейбусе? Ответьте на вопрос задачи, если цена на жетон станет n копеек, а на автобус — m копеек.

Answer 1

1)Пусть Хк. - это стоимость жетона на метро
а  Ук. - это стоимость проезда на автобусе или на троллейбусе
Тогда
2(х+2у) - она проедет туда и обратно впервые

2)Пусть Nк. - это стоимость жетона на метро
а  Mк. - это стоимость проезда на автобусе или на троллейбусе
Тогда
2(n+2m) - она проедет туда и обратно с другой ценой

Answer 2

Problem Analysis

To solve this problem, we need to calculate the total amount of money Katya will spend on transportation to the library and back. We are given the prices of a metro token and a bus or trolleybus ticket in terms of kopecks. We are also given the number of stops Katya needs to travel on each mode of transportation. Additionally, we are told that the price of a metro token will change to n kopecks and the price of a bus ticket will change to m kopecks.

Solution

To find the total cost of Katya's transportation, we need to calculate the sum of the costs for each mode of transportation.

1. Calculate the cost of the metro ride: - Multiply the price of a metro token by the number of metro rides Katya needs to take. - Let's denote the price of a metro token as x kopecks. - The cost of the metro ride is x * 1 = x kopecks.

2. Calculate the cost of the bus ride: - Multiply the price of a bus ticket by the number of bus stops Katya needs to travel. - Let's denote the price of a bus ticket as y kopecks. - The cost of the bus ride is y * 2 = 2y kopecks.

3. Calculate the cost of the trolleybus ride: - Multiply the price of a bus ticket by the number of trolleybus stops Katya needs to travel. - The cost of the trolleybus ride is y * 1 = y kopecks.

4. Calculate the total cost of transportation: - Add the costs of the metro, bus, and trolleybus rides together. - The total cost is x + 2y + y = x + 3y kopecks.

5. Calculate the new total cost after the price changes: - Replace the price of a metro token with n kopecks and the price of a bus ticket with m kopecks. - The new total cost is n + 3m kopecks.

Answer

Katya will spend x + 3y kopecks on transportation to the library and back. If the price of a metro token becomes n kopecks and the price of a bus ticket becomes m kopecks, the new total cost will be n + 3m kopecks.

Please note that the specific values of x, y, n, and m were not provided in the question, so we cannot calculate the exact cost without those values.