Question

Liam is setting chairs for meeting he arranges chairs in 5 rows of the same length he has 3 chairs left over if he arranges the chairs in 3 rows of the same lengh he has 21 left over how many chairs does Liam have

Answer 1

The answer to your question is 48 chairs

Explanation:

Data

5 rows- 3 chairs left over

3 rows - 21 chairs left over

Process

1.- Write two equations each for each situation

x = number of rows

y = number of chairs

Equation 1 y = 5x + 3

Equation 2 y = 3x + 21

2.- Solve the system by equality

5x + 3 = 3x + 21

5x - 3x = 21 - 3

2x = 18

x = 18/2

x = 9

3.- Find the total number of chairs

y = 5(9)+ 3 y = 3(9) + 21

y = 45 + 3 y = 27 + 21

y = 48 y = 48

4.- Conclusion

There are 48 chairs