Question

Магазин в первый день продал половину привезенных поросят да ещё 0,5 поросенка ; во второй-1/3 часть остатка да ещё 1/3 поросенка , а в третий день магазин продал оставшихся 33 поросят . Сколько всего поросят было привезено в магазин ? 1)101 2) 110 3) 111 4) 141Пожалуйста помогите !!

Answer 1

Х-всего
0,5х+0,5-в первый день
1/3(х-0,5х-0,5)+1/3=1/3(0,5х-0,5)+1/3-во второй день

0,5х+0,5+1/3(0,5х-0,5)+1/3+33=х умножим на 3
1,5х+1,5+0,5х-0,5+1+99=3х
2х+101=3х
х=101

Ответ 1)

Answer 2

День       Было             Продали                          Остаток 
1             x                    0.5x+0.5                         0.5x-0.5 
2           0.5x-0,5       1/3(0.5x-0.5) +1/3=1/6x+1/6      0.5x-0.5-1/6x-1/6=1/3х-2/3 
3          1/3х-2/3                33                                     0

1/3x-2/3=33 
1/3x=33 2/3 
x=33 2/3 : 1/3

х=101/3*3/1

x=101

Answer 3

Problem Analysis

To solve this problem, we need to determine the total number of piglets that were brought to the store. We are given the following information:

- On the first day, the store sold half of the piglets brought, plus an additional 0.5 piglet. - On the second day, the store sold one-third of the remaining piglets, plus an additional one-third of a piglet. - On the third day, the store sold the remaining 33 piglets.

We need to calculate the total number of piglets that were brought to the store.

Solution

Let's break down the information given step by step and calculate the total number of piglets.

1. On the first day, the store sold half of the piglets brought, plus an additional 0.5 piglet. - Let's assume the total number of piglets brought to the store is x. - The store sold half of the piglets, which is x/2. - The store also sold an additional 0.5 piglet. - Therefore, the remaining piglets after the first day are x - (x/2) - 0.5.

2. On the second day, the store sold one-third of the remaining piglets, plus an additional one-third of a piglet. - The remaining piglets after the first day are x - (x/2) - 0.5. - The store sold one-third of the remaining piglets, which is (1/3) * (x - (x/2) - 0.5). - The store also sold an additional one-third of a piglet. - Therefore, the remaining piglets after the second day are x - (x/2) - 0.5 - (1/3) * (x - (x/2) - 0.5) - (1/3).

3. On the third day, the store sold the remaining 33 piglets. - The remaining piglets after the second day are x - (x/2) - 0.5 - (1/3) * (x - (x/2) - 0.5) - (1/3). - The store sold the remaining 33 piglets, which is equal to this expression. - Therefore, we can set up the equation: x - (x/2) - 0.5 - (1/3) * (x - (x/2) - 0.5) - (1/3) = 33.

Now, we can solve this equation to find the value of x, which represents the total number of piglets brought to the store.

Calculation

Let's calculate the value of x by solving the equation:

x - (x/2) - 0.5 - (1/3) * (x - (x/2) - 0.5) - (1/3) = 33

Simplifying the equation:

x - x/2 - 0.5 - (1/3) * x + (1/3) * x/2 + (1/3) * 0.5 - (1/3) = 33

Combining like terms:

x - x/2 - (1/3) * x + (1/6) * x + (1/6) - (1/3) = 33

Finding a common denominator:

6x/6 - 3x/6 - 2x/6 + x/6 + 1/6 - 2/6 = 33

Simplifying further:

2x/6 - 1/6 = 33

Combining like terms:

2x - 1 = 198

Adding 1 to both sides:

2x = 199

Dividing both sides by 2:

x = 199/2

Simplifying the fraction:

x = 99.5

Therefore, the total number of piglets brought to the store was 99.5.

Answer

The total number of piglets brought to the store was 99.5. Therefore, the correct answer is 1) 101.