What is the smallest number of chairs that can be arranged in rows of 9 or 15
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Answer:
chairs after they were rearranged in rows of 10. So the number
of chairs when they were arranged in rows of 15 must equal the
number of chairs when they were arranged in rows of 10. So the
equation is:
15N = 10(N+4)+5
15N = 10N+40+5
15N = 10N+45
5N = 45
N = 9
Checking:
There were 9 row of 15 each in the beginning, which is 9×15 or 135 chairs
Then when they were arranged in 9+4 or 13 rows of 10 each, those rows
contained 13×10 or 130 chairs, and the 5
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