The Hectic Italian Restaurant
In a famous Italian Restaurant, there are 13 tables, each having either 3, 4, or 5 chairs. The tables that have 3 or 4 chairs can accommodate 20 people together. Knowing that the restaurant can hold 55 people in total, how many tables are there with 4 chairs?
The answer is 2.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
This problem is a typical system of equations solving problem. We can set that there are x tables with 3 chairs, y tables with 4 chairs, and z tables with 5 chairs. We have three variables so we need three equations: since there are 13 tables in tables in total, then x + y + z =13 we also know that the tables with 3 or 4 chairs fit 20 people so 3x +4y = 20 and lastly altogether accommodates 55 people so 3x + 4y + 5z = 55 Solve the system of equations and you get that y = 2 so there are two tables with 4 chairs. Again, you can skip some of the steps if you can, but this is the way that all people can understand.