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?

Verified Answer :

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