Question

Василий Иванович и Михаил Петрович имеют счета в одном и том же банке. На счете Василия Ивановича на 40% больше денег, чем у Михаила Петровича. Какую часть от суммы счета Василия Ивановича составляет сумма счета Михаила Петровича?

Answer 1

Ответ:

5/7 часть составляет

подробное решение на фотке снизу.

Answer 2

Calculation of the Amount on Vasiliy Ivanovich's Account

To determine the portion of Vasiliy Ivanovich's account that represents the amount on Mikhail Petrovich's account, we need to consider that Vasiliy Ivanovich has 40% more money on his account than Mikhail Petrovich.

Let's assume that the amount on Mikhail Petrovich's account is x. According to the given information, the amount on Vasiliy Ivanovich's account is 40% more than that of Mikhail Petrovich. Mathematically, this can be expressed as:

Amount on Vasiliy Ivanovich's account = x + 40% of x

Simplifying the equation, we have:

Amount on Vasiliy Ivanovich's account = x + 0.4x = 1.4x

Therefore, the amount on Vasiliy Ivanovich's account is 1.4 times the amount on Mikhail Petrovich's account.

Calculation of the Portion of Mikhail Petrovich's Account

To determine the portion of the amount on Vasiliy Ivanovich's account that represents the amount on Mikhail Petrovich's account, we need to calculate the ratio of Mikhail Petrovich's account to the total amount on Vasiliy Ivanovich's account.

The portion of Mikhail Petrovich's account can be calculated using the following formula:

Portion of Mikhail Petrovich's account = (Amount on Mikhail Petrovich's account / Amount on Vasiliy Ivanovich's account) * 100%

Substituting the values, we have:

Portion of Mikhail Petrovich's account = (x / 1.4x) * 100%

Simplifying the equation, we get:

Portion of Mikhail Petrovich's account = (1 / 1.4) * 100% ≈ 71.43%

Therefore, the portion of the amount on Vasiliy Ivanovich's account that represents the amount on Mikhail Petrovich's account is approximately 71.43%.

Please note that the actual values of the amounts on the accounts were not provided in the question, so we cannot determine the exact amounts. However, we can calculate the portion based on the given information.