Question

1) Перед представлением в цирк для продажи было заготовлено некоторое кол-во воздушных шариков. Перед началом представления было продано 3/8 всех воздушных шариков, а в антракте - еще 48 штук. После этого осталось четверть всех шариков. Сколько шариков было первоначально? а) 108 б) 148 в) 128 г) 256 P.S Будьте добры, решение подробное описать!

Answer 1

Пусть х - всего  шаров было
3/8х + 1/4х + 48 = х
3/8х + 2/8х + 48 =  х
5/8х + 48 = х
х - 5/8х = 48
3/8х = 48
3х = 48*8
3х = 384
х = 128

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial number of balloons before the circus performance. We are given that before the start of the performance, 3/8 of all the balloons were sold, and during the intermission, an additional 48 balloons were sold. After these sales, a quarter of all the balloons remained. We need to find the initial number of balloons.

Solution

Let's assume the initial number of balloons is x.

According to the problem, 3/8 of the balloons were sold before the start of the performance. This means that (3/8)x balloons were sold.

During the intermission, an additional 48 balloons were sold. So, the total number of balloons sold becomes (3/8)x + 48.

After these sales, a quarter of all the balloons remained. This means that (1/4)x balloons remained.

We can set up the equation: (1/4)x = (3/8)x + 48

To solve this equation, we can multiply both sides by 8 to eliminate the denominators: 8 * (1/4)x = 8 * ((3/8)x + 48) 2x = 3x + 384

Next, we can subtract 3x from both sides: 2x - 3x = 3x - 3x + 384 -x = 384

Finally, we can multiply both sides by -1 to solve for x: x = -384

However, since we are dealing with the number of balloons, the answer cannot be negative. Therefore, there is no valid solution for this problem.

Answer

The problem does not have a valid solution.