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Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 row of the same length, he has 3 chairs left over. If he arranges the chairs in 7 rows of that same length, he has 19 left. How many chairs does Liam have?
Let the number of chairs in a row be x, then the total number of chairs is 9x + 3 = 7x + 19. i.e. 9x + 3 = 7x + 19; 9x - 7x = 19 - 3; 2x = 16 x = 16/2 = 8. Thus there are 8 chairs in each row. Therefore, the total number of chairs is given by 9(8) + 3 = 72 + 3 = 75.I hope that my answer is helpful! Let me know if you need something more :)
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