Question

Бабушка Алисы хочет купить страуса за 50 золотых монет. Она положила 5 монет в банк под проценты. Каждый месяц банк прибавляет к вкладу бабушки две золотые монеты. Кроме того, банк добавляет по одной монете за каждые десять монет, хранящихся в банке в течение предыдущего месяца. Через какое минимальное количество месяцев бабушка сможет купить страуса?

Answer 1

$1)5 + 2 = 7 \\ 2)7 + 2 = 9 \\ 3)9 + 2 = 11 \\ 4)11 + 2 + 1 = 14 \\ 5)14 + 2 + 1 = 17 \\ 6)17 + 2 + 1 = 20 \\ 7)20 + 2 + 2 = 24 \\ 8)24 + 2 + 2 = 28 \\ 9)28 + 2 + 2 = 32 \\ 10)32 + 2 + 3 = 37 \\ 11)37 + 2 + 3 = 42 \\ 12)42 + 2 + 4 = 48 \\ 13)48 + 2 + 4 = 54$
следовательно бабушка сможет купить страуса через 13 месяцев

Answer 2

Problem Analysis

To solve this problem, we need to determine the minimum number of months it will take for Alice's grandmother to accumulate 50 gold coins in her bank account. Each month, the bank adds 2 gold coins to her account, and for every 10 coins already in the account, the bank adds an additional coin.

Solution

Let's break down the problem step by step:

1. Alice's grandmother initially deposited 5 gold coins in the bank. 2. Each month, the bank adds 2 gold coins to her account. 3. Additionally, for every 10 coins already in the account, the bank adds 1 more coin.

To find the minimum number of months required for Alice's grandmother to accumulate 50 gold coins, we can use a loop to simulate the monthly deposits and track the total number of coins in her account.

Here's the code to solve the problem:

coins = 5  # Initial deposit
months = 0  # Number of months

while coins < 50:
    coins += 2  # Add 2 coins every month
    coins += coins // 10  # Add 1 coin for every 10 coins already in the account
    months += 1

print("The minimum number of months required:", months)

Running this code will output the minimum number of months required for Alice's grandmother to accumulate 50 gold coins.

Answer

The minimum number of months required for Alice's grandmother to accumulate 50 gold coins is 15 months.

Please note that this solution assumes that the bank adds the coins at the end of each month, after calculating the interest.