Question

You invited 56 people to your graduation party. You can afford to rent 5 tables, round and/or rectangular (each costing the same). Each round table can seat 8 people, and each rectangular table can seat 12 people. How many round and rectangular tables should you rent?

a) 2 round tables and 3 rectangular tables
b) 4 round tables and 1 rectangular table
c) 5 round tables
d) 3 round tables and 2 rectangular tables

Answer 1

To determine the number of round and rectangular tables to rent for the graduation party, we need to calculate how many people can be seated at each type of table and compare it to the number of people invited. By solving the equation 8r + 12t = 56, where r is the number of round tables and t is the number of rectangular tables, we find that 3 round tables and 2 rectangular tables should be rented.

Step-by-step explanation:

To determine how many round and rectangular tables to rent for your graduation party, we need to calculate how many people can be seated at each type of table and compare it to the number of people invited. Each round table can seat 8 people, so the total number of people that can be seated at round tables is 8 times the number of round tables.

Each rectangular table can seat 12 people, so the total number of people that can be seated at rectangular tables is 12 times the number of rectangular tables. In this case, we have 56 people invited, and we want to rent 5 tables in total. To determine the number of round and rectangular tables, we need to solve the equation 8r + 12t = 56, where r is the number of round tables and t is the number of rectangular tables.