Question

Ваня заплатил на покупку книг 4/15 своих денег на новый портфель 1/6 денег и ещё 51 грн у него осталось. Сколько денег у него осталось

Answer 1

51 гривна... Ты же сам ответил на свой вопрос...

Answer 2

Calculation of Remaining Money

To calculate how much money Vanya has left after buying books and a new portfolio, we can use the given information.

Vanya paid 4/15 of his money for books and 1/6 of his money for a new portfolio. He also has 51 hryvnias left.

Let's calculate the remaining money step by step:

1. Calculate the total amount of money Vanya had before making any purchases: - We know that Vanya paid 4/15 of his money for books and 1/6 of his money for a new portfolio. - So, the total amount of money Vanya had can be represented as the sum of these two fractions: 4/15 + 1/6.

2. Find the common denominator for the fractions 4/15 and 1/6: - The common denominator for 15 and 6 is 30.

3. Convert the fractions to have a common denominator of 30: - Multiply the numerator and denominator of 4/15 by 2 to get 8/30. - Multiply the numerator and denominator of 1/6 by 5 to get 5/30.

4. Add the fractions 8/30 and 5/30 to find the total amount of money Vanya spent: - 8/30 + 5/30 = 13/30.

5. Calculate the remaining money by subtracting the amount spent from the total amount Vanya had: - Subtract 13/30 from 1 (since 1 represents the total amount of money Vanya had). - 1 - 13/30 = 17/30.

6. Convert the fraction 17/30 to a decimal: - Divide 17 by 30: 17 ÷ 30 = 0.5667 (rounded to four decimal places).

7. Multiply the decimal value by the amount of money Vanya had originally: - Multiply 0.5667 by the amount of money Vanya had originally (represented by x). - 0.5667 * x = 51.

Now we can solve for x to find the original amount of money Vanya had:

0.5667 * x = 51

Solving for x:

x = 51 / 0.5667

x ≈ 89.98

Therefore, the original amount of money Vanya had was approximately 89.98 hryvnias.

To summarize, Vanya had approximately 89.98 hryvnias before making any purchases, and he has 51 hryvnias left after buying books and a new portfolio.