Can someone explain me how the answer of this problem is 10. step by step ?
Luigi started a small restaurant. His friend Giacomo gave him some square tables and chairs. If he uses all the tables as single tables with 4 chairs each, he would need 6 more chairs. If he uses all the tables as double tables with 6 chairs each, he would have 4 chairs left over. How many tables did Luigu get from Giacomo?
Prof has given you a good start. (You might prefer a different way to solve the system of equations, and you may not be familiar with solving equations with two variables, so you may have more questions.)
I'm going to interpret your question differently (probably not the way you intended!), and show you how to
check that the answer is in fact 10 (which is not the way to solve it, but can often help in understanding what the problem means).
Suppose there are 10 tables. Putting 4 chairs at each table requires 4*10 = 40 chairs. Since this is 6 more chairs than he has, he must have 40 - 6 = 34 chairs.
Now suppose we put pairs of table together ("double tables"), so that 6 chairs can fit around each pair. With 10 tables, there will be 5 pairs, and with 6 chairs around each of these, we need 5*6 = 30 chairs. So 4 of the 34 chairs are left over. That's exactly what the problem said, so this is the answer.
Now, you may find that this check provides you with a model for the second equation you need to write! At least, I hope it clarifies what the problem means by "double tables".
EDIT: I see you posted this same question twice. Please don't do that! (And anyone else who wants to respond should do it on that second, later, thread.
