A restaurant has a total of 30 tables which are of twoat each table; the second type seats five people at eseated when all seats are occupied. How many tables atypes. The first type seats two peopletable. A total of 81 people areany tables are there?

Answer:Total number of tables of first type       = 23.Total number of tables of second type = 7Step-by-step explanation:It is given that there are 30 tables in total and there are two types of tables. Let's call the two seat tables, the first type as x and the second type as y. ∴                                             x + y = 30                        ......(1)Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:                                             2x + 5y = 81                        .....(2)To solve (1) & (2) Multiply (1) by 2 and subtract, we get:                                                       y = 7Substituting y = 7 in (1), we get x = 23.∴ The number of tables of first kind         = 23   The number of tables of second kind   = 7