Question

На трех складах вместе было 110 телевизоров. На первом и втором складах было 86 телевизоров, а на первом и третьем было – 56.Сколько телевизоров было на каждом складе?

Answer 1

1 склад - х тел.,  2 склад -86-х тел., тогда на 3 ксладе - 56-х тел
х+86-х+56-х=110
-х=110-86-56
-х=-32
х=32

1 склад - 32 тел, 2 скдаж 86-32=54 тел, 3 склад 56-32=24 тел.

Answer 2

Calculating the Number of TVs on Each Warehouse

To solve this problem, we can use a system of linear equations. Let's denote the number of TVs on the first, second, and third warehouses as x, y, and z respectively. We can then set up the following equations based on the given information:

1. x + y = 86 (Equation 1, representing the TVs on the first and second warehouses) 2. x + z = 56 (Equation 2, representing the TVs on the first and third warehouses) 3. x + y + z = 110 (Equation 3, representing the total number of TVs)

We can solve this system of equations to find the values of x, y, and z.

Solving the System of Equations

Substituting Equation 1 into Equation 3, we get:

86 + z = 110

Solving for z, we find:

z = 110 - 86 = 24

Substituting Equation 2 into Equation 3, we get:

56 + y = 110

Solving for y, we find:

y = 110 - 56 = 54

Now that we have the values of y and z, we can find the value of x using Equation 1:

x + 54 = 86

Solving for x, we find:

x = 86 - 54 = 32

Conclusion

Therefore, the number of TVs on each warehouse is: - First warehouse (x): 32 TVs - Second warehouse (y): 54 TVs - Third warehouse (z): 24 TVs