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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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
To accommodate 120 people at the wedding reception, there should be 12 round tables and 4 square tables. This configuration provides the total of 16 tables and the required seating. Both checks for total tables and total seats confirm the solution is correct.
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