At a graduation dinner, an equal number of guests were seated at each of 3 large tables and 7 late-arriving guests were seated at a smaller table. There were 37 guests in all. If n represents the number of people seated at each of the large tables, what equation represents the situation?

Question

Mathematics

Francisco Garner

12 January, 22:45

At a graduation dinner, an equal number of guests were seated at each of 3 large tables and 7 late-arriving guests were seated at a smaller table. There were 37 guests in all. If n represents the number of people seated at each of the large tables, what equation represents the situation?

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Answers (1)

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Skyla · Answer 1

3n + 7 = 37

Step-by-step explanation:

n represents the number of guests seated at each of the large table.

There are 3 large tables.

So, total number of guests in large table = 3n

Number of guests in smaller table = 7

Hence, total number of guests = 3n + 7

But, it is given that the total number of guests = 37

Hence, 3n + 7 = 37