Question

Автомат по продаже питьевой воды принимает монеты номиналом 2 руб., 5 руб., 10 руб. Стоимость 1 литра воды 5 руб. Сергею Анатольевичу надо набрать 25 литров воды. Он имеет 2-рублевых – 12 монет, 5рублевых – 7 монет, 10-рублевых – 7 монет. За какое наименьшее количество шагов, он совершит данную операцию, при условии того, что он должен использовать монету каждого номинала?

Answer 1

Ответ:

24 шага

Объяснение:

25 литров по 5 руб = 125 руб.

У Сергея Анатольевича: 2*12 + 5*7 + 10*7 = 24 + 35 + 70 = 129 руб.

Это всего 12 + 7 + 7 = 26 монет.

После покупки у него останется 129 - 125 = 4 = 2 + 2 руб.

Значит, ему нужно оставить 2 монеты по 2 руб. и использовать все остальные.

Это 26 - 2 = 24 монеты.

Answer 2

Calculation of the Minimum Number of Steps

To determine the minimum number of steps required for Sergei Anatolyevich to collect 25 liters of water using coins of each denomination, we need to consider the number of coins available for each denomination and the cost of 1 liter of water.

According to the information provided, Sergei Anatolyevich has the following number of coins for each denomination: - 2-ruble coins: 12 coins - 5-ruble coins: 7 coins - 10-ruble coins: 7 coins

The cost of 1 liter of water is 5 rubles.

To calculate the minimum number of steps, we can follow these steps: 1. Determine the number of liters Sergei Anatolyevich can purchase with the available coins for each denomination. 2. Calculate the remaining amount of water needed after using the available coins. 3. Determine the number of additional coins needed for each denomination to cover the remaining amount of water. 4. Calculate the total number of steps required by summing up the number of coins used for each denomination.

Let's calculate the minimum number of steps using these steps.

Step 1: Determine the Number of Liters Purchased with Available Coins

Sergei Anatolyevich has the following number of coins for each denomination: - 2-ruble coins: 12 coins - 5-ruble coins: 7 coins - 10-ruble coins: 7 coins

The cost of 1 liter of water is 5 rubles.

Using the available coins, Sergei Anatolyevich can purchase the following number of liters for each denomination: - 2-ruble coins: 12 coins * 2 rubles/coin = 24 rubles = 24 rubles / 5 rubles/liter = 4.8 liters - 5-ruble coins: 7 coins * 5 rubles/coin = 35 rubles = 35 rubles / 5 rubles/liter = 7 liters - 10-ruble coins: 7 coins * 10 rubles/coin = 70 rubles = 70 rubles / 5 rubles/liter = 14 liters

Step 2: Calculate the Remaining Amount of Water Needed

Sergei Anatolyevich needs to collect 25 liters of water.

The total number of liters purchased with the available coins is: - 2-ruble coins: 4.8 liters - 5-ruble coins: 7 liters - 10-ruble coins: 14 liters

The remaining amount