Question

Даю 85-90 баллов!! Торговець побував у трьох містах. У першому місті в нього купили пʼять шостих товару. У другому - пʼять шостих від того, що залишилось, і в третьому - пʼять шостих від того, що залишилось. Коли він повернувся додому, то в нього залишилось 11 горщиків. Скільки горщиків було в торговця спочатку?Срочно прошу

Answer 1

Відповідь:

Покрокове пояснення:

1) 1- 5/6 = 1/6 товару у нього залишилося після 1го місця

2) 5/6 від 1/6

   1/6 · 5/6 = 5/36 частин  -купили у 2му місці, а залишилося

3) 1/6 - 5/36 = 6/36 - 5/36 = 1/36 - залишок після другого місця

4) 5/6 від 1/36

    1/36 ·5/6 = 5/ 216 - купили у 3му місці

5) 1/36 - 5/ 216 = 6/ 216 - 5/216 = 1/216 - залишок після третього місця і це 11 горщиків

6) 1/216 - це 11 горщиків

  11 : 1/216 = 11 · 216 = 2376 (г) - було всього

Answer 2

Problem Analysis

The problem states that a merchant visited three cities. In the first city, he sold 5/6 of his goods. In the second city, he sold 5/6 of what was left, and in the third city, he sold 5/6 of what was left after the second city. When he returned home, he had 11 pots left. The task is to determine how many pots the merchant had initially.

Solution

Let's solve this problem step by step.

1. Let's assume that the merchant initially had x pots. 2. In the first city, he sold 5/6 of his goods, which is equal to (5/6)x pots. 3. After the first city, he had (1/6)x pots left. 4. In the second city, he sold 5/6 of what was left, which is equal to (5/6) * (1/6)x pots. 5. After the second city, he had (1/6) * (1/6)x pots left. 6. In the third city, he sold 5/6 of what was left, which is equal to (5/6) * (1/6) * (1/6)x pots. 7. After the third city, he had (1/6) * (1/6) * (1/6)x pots left, which is equal to 11 pots.

Now, we can set up an equation to solve for x:

(1/6) * (1/6) * (1/6)x = 11

To solve this equation, we can multiply both sides by 6^3 to eliminate the fractions:

(1/6) * (1/6) * (1/6)x * 6^3 = 11 * 6^3

Simplifying the equation:

x = 11 * 6^3 / (1/6) * (1/6) * (1/6)

Now, let's calculate the value of x:

x = 11 * 6^3 / (1/6) * (1/6) * (1/6)