Final answer:
To find out how many legs belong to round tables, you need to solve a system of equations. There are 4 round tables, with a total of 16 legs.
Step-by-step explanation:
To find out how many legs belong to round tables, we need to solve the system of equations:
R + S = 10 (where R represents the number of round tables and S represents the number of rectangular tables)
4R + 6S = 52 (where 4R represents the number of legs from round tables and 6S represents the number of legs from rectangular tables)
Multiplying the first equation by 4, we get: 4R + 4S = 40
Subtracting the second equation from the modified first equation, we get: 4S - 6S = 40 - 52
-2S = -12
Solving for S, we divide both sides by -2:
S = 6
Substituting the value of S into the first equation, we get: R + 6 = 10
Simplifying, we find: R = 4
Therefore, there are 4 round tables, and since each round table has 4 legs, there are a total of 16 legs belonging to round tables.