At a graduation dinner, an equal number of guests was seated at each of 4 large tables, and 7 late-arriving guests were seated at a smaller table. There were 55 guests in all. If n represents the number of people seated at each of the large tables, what equation could you use to find the value of n?'

Question

Mathematics

Abraham

12 December, 18:34

At a graduation dinner, an equal number of guests was seated at each of 4 large tables, and 7 late-arriving guests were seated at a smaller table. There were 55 guests in all. If n represents the number of people seated at each of the large tables, what equation could you use to find the value of n?'

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Answers (1)

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Vanessa Farrell · Answer 1

The equation 4n + 7 = 55 is used to find the value of n.

The value of n is founded as n=12.

Step-by-step explanation:

Let 'n' be the number of people seated at each of the 4 large tables.

The number of guests seated in 4 large tables = 4n The number of guests seated in smaller table = 7 Total number of guests = 55

Total guests = guests in larger table + guests in small table.

The equation framed is 55 = 4n + 7

⇒ 4n = 55-7

⇒ 4n = 48

⇒ n = 12