a caterer is planning a large dinner party for 165 guest. each table must get an equal number of guest, more than 1 guest and fewer than 20. Determine the number of possible table sizes. if the caterers use 11- person tables. how many will they need?
there are blank possible table sizes that will seat an equal number of guest more than 1 guest and fewer than 20.?
165 = 3*5*11
So, the table could seat 3,5,11,15,33,or 55 people
The restriction on table size means that the only choices are 3,5,11,15
alright thank you
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Or, why not just use a single name, steven old buddy?
WHAT? DON'T HAVE TIME TO PLAY GAMES...
To determine the number of possible table sizes that will seat an equal number of guests, more than 1 guest, and fewer than 20, we can start by listing the possible number of guests at each table size.
Since each table size should seat an equal number of guests, the table sizes can be represented by factors of the total number of guests (165 in this case). We need to find the factors that are more than 1 and fewer than 20.
The factors of 165 are:
1, 3, 5, 11, 15, 33, 55, and 165.
Out of these factors, we can rule out the numbers less than 2 (since we want more than 1 guest at each table) and the number 165 (as it exceeds 20).
So, the possible table sizes are: 3, 5, 11, 15, 33, and 55.
If the caterers use 11-person tables, to determine how many tables they will need, we divide the total number of guests (165) by the table size (11):
165 ÷ 11 = 15
Therefore, the caterers will need 15 tables if they use 11-person tables.