Question

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 7 rows of the same length, he has 9 chairs left over. If he arranges the chairs in 5 rows of that same length, he has 23 left over. How many chairs does Liam have?

PLEASE HELPPPPP

Answer 1

Step-by-step explanation:

Given Liam is setting up folding chairs for a meeting. If he arranges the chairs in 7 rows of the same length, he has 9 chairs left over. If he arranges the chairs in 5 rows of that same length, he has 23 left over. How many chairs does Liam have?

• So let the number of chairs in 7 rows and 9 chairs left over be represented by
•     7m + 9  (m is number of chairs in each row)
• So let the number of chairs in 5 rows and 23 chairs left over be represented by
•     5m + 23
• So the total number of chairs is same and the equation will be
•                                     7m + 9 = 5m + 23
•                                   7m – 5m = 23 – 9
•                                        2m = 14
•                                        Or m = 14/2
•                                        Or m = 7
• Therefore the total number of chairs will be  
•                                     7m + 9
•                                     7(7) + 9
•                                       49 + 9
•                                        58
•                   Or 5m + 23
•                       5(7) + 23
•                        35 + 23
•                           58
•  So Liam wil have 58 chairs.

Reference link will be

https://brainly.in/question/36657878