Question

Перед представлением в цирке для продажи было заготовлено некоторое количество воздушных шариков. Перед началом было продано 2/7 всех воздушных шариков, а в антракт еще 64 штуки. После этого осталась треть всех шариков. сколько шариков было первоначально?

Answer 1

Х-всего шариков
х=2/7х+1/3х+64
х-6/21х-7/21х=64
х=13/21х=64
8/21х=64
х=64:8/21=64*21/8=168шариков было первоначально

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial number of balloons before the circus performance. We are given the following information: - 2/7 of the balloons were sold before the performance. - During the intermission, an additional 64 balloons were sold. - After these sales, one-third of the balloons remained.

Solution

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

According to the given information: - 2/7 of the balloons were sold before the performance, which means (2/7)x balloons were sold. - During the intermission, an additional 64 balloons were sold, so the total number of balloons sold becomes (2/7)x + 64. - After these sales, one-third of the balloons remained, which means (1/3)x balloons remained.

We can set up the following equation to solve for 'x': (1/3)x = x - [(2/7)x + 64]

Now, let's solve the equation step by step:

(1/3)x = x - [(2/7)x + 64] (1/3)x = x - (2/7)x - 64 (1/3)x = (7/7)x - (2/7)x - 64 (1/3)x = (5/7)x - 64

To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of 3 and 7, which is 21:

21 * (1/3)x = 21 * [(5/7)x - 64] 7x = 15x - 1344

Now, let's simplify the equation further:

7x - 15x = -1344 -8x = -1344

Dividing both sides of the equation by -8:

x = -1344 / -8 x = 168

Therefore, the initial number of balloons before the circus performance was 168.

Answer

The initial number of balloons before the circus performance was 168.