A caterer is planning a large dinner party for 385 guests. Each table must seat an equal number of gusts, more than 1 guest and fewer than 20. Determine the number of possible table sizes. If the caterers use 7-person tables, how many tables will they need?

-Jarvis

Question

Mathematics

Paxton Fowler

21 March, 08:47

A caterer is planning a large dinner party for 385 guests. Each table must seat an equal number of gusts, more than 1 guest and fewer than 20. Determine the number of possible table sizes. If the caterers use 7-person tables, how many tables will they need?

-Jarvis

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Answers (1)

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Amelie Harrell · Answer 1

Answer: The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.

For tables that seat 7, the caterer would need 11*13 = 143 tables.

For tables that seat 11, the caterer would need 7*13 = 91 tables.

For tables that seat 13, the caterer would need 7*11 = 77 tables

Step-by-step explanation:

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A caterer is planning a large dinner party for 385 guests. Each table must seat an equal number of gusts, more than 1 guest and fewer than 20. Determine the number of possible table sizes. If the caterers use 7-person tables, how many tables will they need?-Jarvis

A caterer is planning a large dinner party for 385 guests. Each table must seat an equal number of gusts, more than 1 guest and fewer than 20. Determine the number of possible table sizes. If the caterers use 7-person tables, how many tables will they need?

-Jarvis