Question

Перед представлением в цирк для продажи было заготовлено некоторое количество воздушных шариков. Перед началом представления было продано 3/8 всех воздушных шариков, а в антракте — еще 16 штук. После этого осталась половина всех шариков. Сколько шариков было первоначально?

Answer 1

1/2-3/8=4/8-3/8=1/8 часть - 16 шариков
16х8=128 шариков было первоначально
проверка:
128х3/8=48 шариков  -продали перед началом представления
48+16=64 шарика - продали перед началом представления и в антракте
128-64=64 шарика - осталось

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial number of balloons before the performance. We are given the following information: - 3/8 of all balloons were sold before the performance. - During the intermission, an additional 16 balloons were sold. - After these sales, half of the balloons remained.

Let's denote the initial number of balloons as "x". We can then set up the following equation to represent the given information:

x - (3/8)x - 16 = (1/2)x

Solution

To find the initial number of balloons, we can solve the equation:

x - (3/8)x - 16 = (1/2)x

To simplify the equation, we can multiply through by 8 to eliminate the fractions:

8x - 3x - 128 = 4x

Combining like terms:

5x - 128 = 4x

Subtracting 4x from both sides:

x - 128 = 0

Adding 128 to both sides:

x = 128

Therefore, the initial number of balloons was 128.

Answer

The initial number of balloons before the performance was 128.