SOLUTION: There are 30 tables of two types, one type seats 5 people and the other one seats 2 people. If 81 students are seated and all the tables are filled, how many tables of two are the

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Question 324480: There are 30 tables of two types, one type seats 5 people and the other one seats 2 people. If 81 students are seated and all the tables are filled, how many tables of two are there?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if all 30 were for 2, then you could seat 60

for each 2-seater that is changed for a 5-seater, you gain 3 more seats

from 60 to 81 is 21 more seats

21/3 is 7

so 7 5-seaters and 23 2-seaters