Liam is setting up folding chairs for a meeting. If he arranges the chairs in 5 rows of the same length, he has 9 chairs left over. If he arranges the chairs in 3 rows of that same length, he has 15 left over. How many chairs does Liam have?
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Given:
Number of rows = 5
Number of chairs left = 9
Number of rows in which chairs are arranged = 3
Number of chairs left = 15
To Find:
How many chairs does Liam have?
Solution:
According to the question -
5x + 9 = 3x + 15
Solving the equation =
5x - 3x = 15 - 9
2x = 6
x = 6/2
x = 3
Thus, there are 3 chairs in each row.
Total number of chairs -
5(3) + 9
= 15 + 9
= 26
Answer: Liam has 26 chairs.
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