Question

если в кафе за каждый стол сядут по 3 человека , то останутся свободными 5 столов, а если сядут по 2 человека , то 5 человек останутся без места.сколько столов и сколько посетителей в кафе?

Answer 1

3(х-5)=2х+5

3х-2х=5+15

х=20 столов в кафе

2*20+5=45 человек 

Answer 2

Calculating the Number of Tables and Visitors in the Cafe

To solve this problem, we can use a system of linear equations. Let's denote the number of tables as T and the number of visitors as V. We are given two pieces of information:

1. If 3 people sit at each table, 5 tables will be left empty. 2. If 2 people sit at each table, 5 people will be left without a seat.

We can represent this information as the following equations:

1. 3T - V = 15 (If 3 people sit at each table, 5 tables will be left empty, so 3T - V = 15) 2. 2T - V = -5 (If 2 people sit at each table, 5 people will be left without a seat, so 2T - V = -5)

Now, let's solve these equations to find the values of T and V.

First, we can solve for V in terms of T from the second equation: V = 2T + 5

Then, we can substitute this value of V into the first equation: 3T - (2T + 5) = 15 T - 5 = 15 T = 20

Now that we have the value of T, we can find the value of V: V = 2(20) + 5 V = 40 + 5 V = 45

So, there are 20 tables and 45 visitors in the cafe.

Conclusion

The cafe has 20 tables and can accommodate 45 visitors.