Question

Артём, Петя и Вася играли в снежки. Первым снежок кинул Артём и попал в Петю. Каждый мальчик в ответ на каждый попавший в него снежок кидает два снежка (не обязательно в того, кто в него попал). Некоторые снежки ни в кого не попали. Всего было 4 попадани(-я, -й). Сколько снежков ни в кого не попало?

Answer 1

5 снежков

Каждый мальчик ,в ответ на каждый попавший в него снежок, кидает два снежка. Всего было 4 попадания , значит снежков было брошено

4*2= 8 снежков плюс первый снежок , итого

8+1=9 снежков было брошено, значит

9 - 4 =5 снежков ни в кого не попало

Answer 2

Solution:

To solve this problem, let's consider the number of snowballs thrown and the number of hits. We'll use a system of equations to represent the situation.

Let's denote: - A as the number of snowballs thrown by Artem, - P as the number of snowballs thrown by Petya, - V as the number of snowballs thrown by Vasya, - a as the number of snowballs thrown by Artem that hit someone, - p as the number of snowballs thrown by Petya that hit someone, - v as the number of snowballs thrown by Vasya that hit someone.

We are given the following information: 1. Artem hit Petya with his first snowball. 2. Each boy throws two snowballs in response to each snowball that hits them. 3. There were a total of 4 hits.

We can express this information in the following equations: 1. A = a + 2p + 2v 2. P = 2a + p + 2v 3. V = 2a + 2p + v 4. a + p + v = 4

Let's solve these equations to find the number of snowballs that didn't hit anyone.

Solution Steps:

1. We'll start by solving the system of equations to find the values of A, P, and V. 2. Then, we'll calculate the number of snowballs that didn't hit anyone.

Calculations:

From the given equations, we can solve for A, P, and V:

From equation (1): A = a + 2p + 2v

From equation (2): P = 2a + p + 2v

From equation (3): V = 2a + 2p + v

Adding these three equations together: A + P + V = 5a + 5p + 5v

Since a + p + v = 4, we can substitute this value: A + P + V = 5*4 A + P + V = 20

Now, we know that A + P + V = Total snowballs thrown. Therefore, the total snowballs thrown = 20.

Now, we'll calculate the number of snowballs that didn't hit anyone: Total snowballs thrown - Total hits = Snowballs that didn't hit anyone 20 - 4 = 16 snowballs didn't hit anyone.

Answer:

Therefore, the number of snowballs that didn't hit anyone is 16.