Question

Бабушка купила пряники.Сева взял половину всех пряников.Митя взял половину оставшихся пряников.Петя половину оставшихся после Мити.После этого осталось 2 пряника.Сколько взял Сева

Answer 1

Х всего пряников
1/2х половина пряников
1/4 это половина оставшихся

1/2х+1/4х+2=х
2х+х+8=4х
3х+8=4х
4х-3х=8
х=8 пряников было
8:2= 4 пряника половина всех
8-4=4 пряника оставшиеся
4;2=2 пряника половина оставшихся
4+2= 6 пряников взял
8-6=2 пряника осталось

Answer 2

Problem Analysis

In this problem, we are given the following information: - Grandma bought some gingerbread cookies. - Seva took half of all the cookies. - Mitya took half of the remaining cookies. - Petya took half of the remaining cookies after Mitya. - After that, there were 2 cookies left.

We need to determine how many cookies Seva took.

Solution

Let's break down the problem step by step:

1. Grandma bought some gingerbread cookies. 2. Seva took half of all the cookies. 3. Mitya took half of the remaining cookies. 4. Petya took half of the remaining cookies after Mitya. 5. After that, there were 2 cookies left.

To find the number of cookies Seva took, we need to work backward from the final step.

Step 5 tells us that there were 2 cookies left after Petya took his share. This means that Petya took half of the remaining cookies after Mitya. So, we can calculate the number of cookies Petya took by doubling the number of cookies left (2) and adding 2.

Let's denote the number of cookies Petya took as P. We can calculate it as follows:

P = (2 * 2) + 2 = 6

Now, we know that Petya took 6 cookies. Step 4 tells us that Petya took half of the remaining cookies after Mitya. So, we can calculate the number of cookies Mitya took by doubling the number of cookies Petya took (6) and adding 2.

Let's denote the number of cookies Mitya took as M. We can calculate it as follows:

M = (2 * 6) + 2 = 14

Now, we know that Mitya took 14 cookies. Step 3 tells us that Mitya took half of the remaining cookies. So, we can calculate the number of cookies Seva took by doubling the number of cookies Mitya took (14) and adding 2.

Let's denote the number of cookies Seva took as S. We can calculate it as follows:

S = (2 * 14) + 2 = 30

Therefore, Seva took 30 cookies.

Answer

Seva took 30 cookies.