Question

there are 120 people attending a wedding reception. There are 16 tables. Some are round and some are square. the round table seats 8 people and the square seat 6. how many of each type of table must there be

Answer 1

r+s=16
8*r+6*s=120

r=16-s

8*(16-s)+6*s=120
128-8s+6s=120
-2s=-8
2s=8
s=4
r=16-4

Answer 2

There are 12 tables of 8 people and 4 tables of 6 people.

Given that there are 120 people attending a wedding reception, and there are 16 tables and some are round and some are square, and the round table seats 8 people and the square seat 6, to determine how many of each type of table must there be the following calculation must be performed:

• 8 x 8 + 6 x 8 = 64 + 48 = 112
• 8 x 10 + 6 x 6 = 80 + 36 = 116
• 8 x 12 + 6 x 4 = 96 + 24 = 120

Therefore, there are 12 tables of 8 people and 4 tables of 6 people.

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