Question

Домовой нашёл стопку бумаги и на каждом 3-м листе нарисовал маленькую Иру. Маленькая Ира нашла эту стопку и на каждом 4-м листе нарисовала Домового. Немного позже эту же стопку увидело Привидение и на каждом 5-м листе нарисовало автопортрет. Вечером ирина мама очень испугалась, когда, делая уборку, нашла 22 портрета Домового, 17 портретов Иры и 13 портретов Привидения. Сколько было бумаги в стопке? помогите!!!! желательно действиями!!!!!)

Answer 1

Решение. Домовой нарисовал 22 портрета, значит, листов не менее 22 ⋅ 3,
но менее 23 ⋅ 3. То есть от 66 до 68.
Ира нарисовала 17 портретов, значит, листов не менее 17 ⋅ 4, но менее 18 ⋅ 4. То есть от 68 до 71.
Приведения нарисовал 13 портретов, значит, листов не менее 13 ⋅ 5, но менее 14 ⋅ 5. То есть от 65 до 69.
Единственное число, подходящее под все эти условия это 68 листов.

Answer 2

Ывапрыварывар55444444444444444444444444444444444444444444444

Answer 3

Problem Analysis

We are given the following information: - A house spirit (domovoy) found a stack of paper and drew a small picture of Ira on every 3rd sheet. - Ira found the stack and drew a picture of the domovoy on every 4th sheet. - Later, a ghost (prividenie) saw the same stack and drew a self-portrait on every 5th sheet. - In the evening, Ira's mom found 22 portraits of the domovoy, 17 portraits of Ira, and 13 portraits of the ghost while cleaning.

We need to determine the number of sheets in the stack of paper.

Solution

Let's work through the problem step by step:

1. We know that Ira's mom found 22 portraits of the domovoy, 17 portraits of Ira, and 13 portraits of the ghost. These portraits were drawn on every 4th, 3rd, and 5th sheet, respectively. 2. To find the total number of sheets, we need to find the least common multiple (LCM) of 4, 3, and 5. The LCM is the smallest number that is divisible by all three numbers. 3. The LCM of 4, 3, and 5 is 60. 4. Therefore, there were 60 sheets in the stack of paper.

Answer: There were 60 sheets in the stack of paper.

Explanation

To find the least common multiple (LCM) of 4, 3, and 5, we can use the following steps:

1. Find the prime factorization of each number: - 4 = 2^2 - 3 = 3^1 - 5 = 5^1 2. Take the highest power of each prime factor: - 2^2, 3^1, 5^1 3. Multiply these prime factors together: - 2^2 * 3^1 * 5^1 = 4 * 3 * 5 = 60

Therefore, the LCM of 4, 3, and 5 is 60.

Additional Information: - The LCM is the smallest positive integer that is divisible by all the given numbers. - In this case, the LCM represents the number of sheets in the stack of paper that would allow each drawing to be on its respective sheet.