Question

Не могу решить задачу: после того как Сергей потратил 50% всех своих денег на покупку книжки , а 1/6 всех денег- на покупку тетрадей , у него осталось 2 грн. Сколько денег было у Сергея сначала?

Answer 1

50%-это 3/6 всех денег
он потратил 3/6+1/6=4/6 денег.
Получается, 2грн. - это 6/6-4/6=2/6 всех денег
2*3=6грн.
Ответ:изначально у Сергея было 6грн.

Answer 2

После того как Сергей потратил 50% всех своих денег на покупку книги,
а 1/6 всех денег на покупку тетрадей, у него осталось 2 гривны.
Сколько денег было у Сергея сначала?

50% = 1/2 - всех денег Сергей потратил на покупку книги.
1/2 + 1/6 = 3/6 + 1/6 = 4/6 = 2/3 - всех денег стоят книга и тетради.
1 - 2/3 = 3/3 - 2/3 = 1/3 - то что осталось, и это составляет 2 гривны.
2 · 3 = 6 (грн.) - было у Сергея сначала.
Ответ: 6 гривен.

Answer 3

Problem Analysis

To solve this problem, we need to determine the amount of money Sergey had initially. We know that he spent 50% of his money on buying a book and 1/6 of his money on buying notebooks. After these expenses, he had 2 UAH left.

Solution

Let's assume that Sergey had x UAH initially.

According to the given information: - Sergey spent 50% of his money on buying a book, which is equal to 0.5x UAH. - Sergey spent 1/6 of his money on buying notebooks, which is equal to (1/6)x UAH.

After these expenses, Sergey had 2 UAH left.

We can now set up the equation to solve for x:

x - 0.5x - (1/6)x = 2

Simplifying the equation:

(6/6)x - (3/6)x - (1/6)x = 2

(2/6)x = 2

Multiplying both sides of the equation by 6/2:

x = 6

Therefore, Sergey had 6 UAH initially.

Answer: Sergey had 6 UAH initially.

Explanation

Sergey had 6 UAH initially. He spent 50% of his money on buying a book, which is 3 UAH. He also spent 1/6 of his money on buying notebooks, which is 1 UAH. After these expenses, he had 2 UAH left.