SOLUTION: There are 60 tables in a restaurant, with 25% of them seating 2 people. The tables remaining seat 4 people. How many seats are there in the restaurant?

Algebra ->  Probability-and-statistics -> SOLUTION: There are 60 tables in a restaurant, with 25% of them seating 2 people. The tables remaining seat 4 people. How many seats are there in the restaurant?       Log On


   

Question 695916: There are 60 tables in a restaurant, with 25% of them seating 2 people. The tables remaining seat 4 people. How many seats are there in the restaurant?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are 60 tables in a restaurant, with 25% of them seating 2 people. The tables remaining seat 4 people. How many seats are there in the restaurant?
------
Tables Equation: t + f = 60
t = 0.25(t+f)
t = 0.25t + 0.25f
0.75t = 0.25f
t = (1/3)f
--------
Substitute for "t" and solve for "f":
(1/3)f + f = 60
(4/3)f = 60
f = 45 (# of tables that seat 4 people)
---------
Solve for "t":
t + f = 60
t + 45 = 60
t = 15 (# of tables that seat 2 people)
======================
Cheers,
Stan H.
======================