
На одном складе было в 3 раза больше телевизоров чем на другом. После того как с первого склада
взяли 20 телевизоров, а на второй привезли 14, телевизоров стало поровну на двух скаладах. Сколько телевизоров было на каждом складе?

Ответы на вопрос

1 склад - 3х
Стало:
1 склад 3х-20
2 склад х+14
Составим равенство
3х-20=х+14
3х-х=14+20
2х=34
х=17
17 телевизоров во 2 складе
17*3=51 телевизор на 1 складе
Ответ 51 телевизор на 1 складе, 17 телевизоров на 2 складе



Problem Analysis
We are given that there were three times as many televisions on one warehouse as on the other. After taking 20 televisions from the first warehouse and adding 14 to the second warehouse, the number of televisions became equal on both warehouses. We need to determine the number of televisions on each warehouse.
Solution
Let's assume the number of televisions on the first warehouse is x. According to the problem, the number of televisions on the second warehouse is (1/3)x.
After taking 20 televisions from the first warehouse, the number of televisions becomes x - 20. After adding 14 televisions to the second warehouse, the number of televisions becomes (1/3)x + 14.
Since the number of televisions became equal on both warehouses, we can set up the following equation:
(x - 20) = (1/3)x + 14
Now, let's solve this equation to find the value of x.
Solving the Equation
To solve the equation, we'll start by simplifying it:
x - 20 = (1/3)x + 14
Multiply both sides of the equation by 3 to eliminate the fraction:
3(x - 20) = 3((1/3)x + 14)
Simplify:
3x - 60 = x + 42
Subtract x from both sides:
3x - x - 60 = 42
Simplify:
2x - 60 = 42
Add 60 to both sides:
2x = 102
Divide both sides by 2:
x = 51
So, the number of televisions on the first warehouse (x) is 51.
Since the number of televisions on the second warehouse is (1/3)x, we can calculate it:
(1/3)x = (1/3) * 51 = 17
Therefore, there were 51 televisions on the first warehouse and 17 televisions on the second warehouse.
Answer
There were 51 televisions on the first warehouse and 17 televisions on the second warehouse.


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