Question

Вася,купив в магазине 3ручки,4 тетради и 6 жвачек, заплатил 65 рублей, а Петя купив в том же магазине 1 ручку,2 тетради и 3 жвачки, заплатил 25 рублей. Сколько стоит ручка?

Answer 1

3р+4т+6ж=65
1р+2т+3ж=25
умножаем второе на 2
2р+4т+6ж=50
от первого отнимаем это
1р=15руб

Answer 2

Calculation of the Cost of a Pen

To calculate the cost of a pen, we need to determine the price of each item individually and then subtract the total cost of notebooks and chewing gum from the total amount paid by Vasya and Petya.

Vasya bought: - 3 pens - 4 notebooks - 6 chewing gums - Paid 65 rubles

Petya bought: - 1 pen - 2 notebooks - 3 chewing gums - Paid 25 rubles

Let's calculate the cost of a pen step by step:

1. Calculate the total cost of notebooks: - Vasya bought 4 notebooks, so the cost of notebooks for Vasya is 4 times the cost of one notebook. - Petya bought 2 notebooks, so the cost of notebooks for Petya is 2 times the cost of one notebook. - To find the cost of one notebook, we need to subtract the total cost of notebooks from the total amount paid by Vasya and Petya and divide it by the total number of notebooks bought. - The formula to calculate the cost of one notebook is: (Total amount paid - Total cost of chewing gums) / Total number of notebooks.

2. Calculate the total cost of chewing gums: - Vasya bought 6 chewing gums, so the cost of chewing gums for Vasya is 6 times the cost of one chewing gum. - Petya bought 3 chewing gums, so the cost of chewing gums for Petya is 3 times the cost of one chewing gum. - To find the cost of one chewing gum, we need to subtract the total cost of chewing gums from the total amount paid by Vasya and Petya and divide it by the total number of chewing gums bought. - The formula to calculate the cost of one chewing gum is: (Total amount paid - Total cost of notebooks) / Total number of chewing gums.

3. Calculate the cost of a pen: - Now that we have the cost of one notebook and the cost of one chewing gum, we can calculate the cost of a pen. - The cost of a pen is the total amount paid minus the total cost of notebooks and the total cost of chewing gums. - The formula to calculate the cost of a pen is: Total amount paid - Total cost of notebooks - Total cost of chewing gums.

Let's calculate the cost of a pen using the given information:

1. Calculate the total cost of notebooks: - Vasya paid 65 rubles and bought 4 notebooks. - Petya paid 25 rubles and bought 2 notebooks. - The total cost of notebooks is: (65 - Total cost of chewing gums) / 4 + (25 - Total cost of chewing gums) / 2.

2. Calculate the total cost of chewing gums: - Vasya paid 65 rubles and bought 6 chewing gums. - Petya paid 25 rubles and bought 3 chewing gums. - The total cost of chewing gums is: (65 - Total cost of notebooks) / 6 + (25 - Total cost of notebooks) / 3.

3. Calculate the cost of a pen: - The cost of a pen is: 65 - Total cost of notebooks - Total cost of chewing gums.

Let's calculate the cost of a pen using the formulas above.