Of the 50 tables in a restaurant, 40% seat 2 people. The rest of the tables seat 4 people. How many seats are there in the restaurant?
40% of 50 is the same as 2/5 = 20 tables
20 x 2 = 40 seats
50 - 20 = 30 tables
30 x 4 = 120 seats
40 + 120 = 160 seats in total
For this case, the first thing we must do is determine the number of tables that 2 people sit.
For this, we use the following rule of three:
50 tables -----------------> 100%
x ----------------------------> 40%
Clearing x we have:
\(x = (\frac{40}{100}) * (50)
x = 20
\)
Then, the number of tables that 4 people feel is given by:
\(50 - x = 50 - 20 = 30
\)
We are now looking for the number of chairs:
Table for 2: \(20 * 2 = 40
\)
Table for 4: \(30 * 4 = 120
\)
Total seats: \(120 + 40 = 160
\)
Answer:
there are 160 seats in the restaurant