The number of computers in three warehouses is 1: 2: 3. 7 computers were sold from the first warehouse

| August 1, 2021 | education

The number of computers in three warehouses is 1: 2: 3. 7 computers were sold from the first warehouse, 16 computers from the third, and 17 computers were brought to the second warehouse. After that, the second warehouse had the same number of computers as in the first and third together .How many k. Were in each warehouse first.

The solution of the problem.

1. Let’s denote by x the number of computers in the first warehouse.

2. Find the number of computers in the second warehouse.

2x.

3. Let’s find the number of computers in the third warehouse.

3x.

4. How many computers did the first warehouse have?

x – 7.

5. How many computers are there in the third warehouse?

3x – 16.

6. How many computers are there in the second warehouse?

2x + 17.

7. How many computers are there in the first and third warehouses together?

x – 7 + (3x – 16) = 4x – 23.

8. Let’s compose and solve the equation.

2x + 17 = 4x – 23;

2x = 40;

x = 20.

9. The initial number of computers in the first warehouse is x = 20.

10. How many computers were in the second warehouse?

20 * 2 = 40.

11. How many computers did the third warehouse have?

20 * 3 = 60.

Answer. In the first warehouse there were 20 computers, in the second warehouse there were 40 computers, in the third warehouse there were 60 computers.



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