Question

Вова и Дима пошли на футбол. По пути они купили фисташки: Вова купил три пакетика, а Дима - два. Чуть позже к ним присоединился Миша, который не успел купить себе фисташки. Но ребята разделили всё угощение поровну, а после матча выяснилось, что Миша должен ребятам 2525 рублей. Каким образом должны разделить между собой эти деньги Вова и Дима?

Answer 1

Ответ:

Вова получает 2020 рублей, Дима — 505 рублей

Пошаговое объяснение:

Всего трое ребят довольствовались 3+2 = 5 пакетиками фисташек, то бишь каждый съел по $\frac{5}{3}$ пакетика. Из трех пакетиков, купленных Вовой, он сам угостился этими самыми $\frac{5}{3}$ пакетика, а оставшимися $3-\frac{5}{3} =\frac{9}{3}-\frac{5}{3}=\frac{4}{3}$ поделился с Мишей. Из двух пакетиков, купленных Димой, он сам съел тоже $\frac{5}{3}$ пакетика, а остальную $2-\frac{5}{3}= \frac{6}{3}-\frac{5}{3}=\frac{1}{3}$ отдал Мише. Получается, что "вклады" щедрых ребят в лакомства Миши находятся в отношении 4:1. В таком же отношении они разделят плату. Пускай x — коэффициент пропорциональности. Тогда Вове причитается 4x рублей, а Диме — x рублей. По условию 4x+x = 2525, тогда 5x = 2525, x = 505.

Итак, Дима положит в карман 505 рублей, а Вова — 505×4 = 2020 рублей.

Answer 2

Problem Analysis

Vova and Dima went to a football match and bought pistachios on the way. Vova bought three packets, while Dima bought two. Later, Misha joined them but didn't buy any pistachios. They divided all the treats equally, but after the match, it turned out that Misha owes them 2525 rubles. We need to determine how Vova and Dima should divide this money between themselves.

Solution

To solve this problem, we need to consider the number of pistachios each person bought and the amount of money Misha owes. Let's break down the steps:

1. Determine the total number of pistachios bought by Vova and Dima. - Vova bought three packets of pistachios. - Dima bought two packets of pistachios. - Therefore, the total number of packets of pistachios is 3 + 2 = 5.

2. Calculate the cost of each packet of pistachios. - Since the cost of the pistachios is not given, we cannot determine the exact cost of each packet. We can only divide the total amount owed by the total number of packets to get an average cost per packet.

3. Calculate the total amount owed by Misha. - Misha owes 2525 rubles.

4. Determine the amount owed by Vova and Dima. - Since Vova and Dima bought all the pistachios, they should share the cost equally. - Divide the total amount owed by the total number of packets of pistachios to find the cost per packet. - Multiply the cost per packet by the number of packets bought by Vova and Dima to find the amount owed by each of them.

Let's calculate the amount owed by Vova and Dima:

- Total number of packets of pistachios: 5 - Total amount owed by Misha: 2525 rubles

Since we don't have the exact cost of each packet, we cannot calculate the exact amount owed by Vova and Dima. However, we can calculate the amount owed by each of them based on an average cost per packet.

Let's assume the average cost per packet is X rubles.

- Amount owed by Vova: 3 packets * X rubles/packet - Amount owed by Dima: 2 packets * X rubles/packet

To find the average cost per packet, we can divide the total amount owed by the total number of packets:

- Average cost per packet: 2525 rubles / 5 packets = 505 rubles/packet

Now we can calculate the amount owed by Vova and Dima:

- Amount owed by Vova: 3 packets * 505 rubles/packet = 1515 rubles - Amount owed by Dima: 2 packets * 505 rubles/packet = 1010 rubles

Therefore, Vova should receive 1515 rubles and Dima should receive 1010 rubles.

Note: The exact cost per packet of pistachios is not provided in the question, so we made an assumption of an average cost per packet. The actual amounts owed by Vova and Dima may vary depending on the actual cost per packet.

Conclusion

Based on the information provided, Vova should receive 1515 rubles and Dima should receive 1010 rubles.