Question

A plane has 360 total seats, which are divided into economy class and business class. For every 13 seats in economy class, there are 5seats in business class.


How many seats are there in each class?

Answer 1

13 seats in economy : 5 seats in business...

13/18 * 360 = 260 <== economy (13 out of 18 seats are economy)

5/18 * 360 = 100 <=== business (5 out of 18 seats are business)

Answer 2

Answers:

Number of economy class seats = 260 seats

Number of business class seats = 100 seats

Explanation:

We are given that:

For every 13 seats in economy class, there are 5 seats in business class ($\frac{economy}{business} = \frac{13}{5}$)

This means that:

If number of seats in economy class is 13x, then the number of seats in business class is 5x

We are also given that:

Total number of seats is 360 seats

Therefore:

13x + 5x = 360

18x = 360

$x = \frac{360}{18} = 20$

Now, we get the number of seats in each class:

Number of seats in economy class = 13x = 13(20) = 260 seats

Number of seats in business class = 5x = 5(20) = 100 seats

Final check:

$\frac{economy}{business} = \frac{260}{100} = \frac{13}{5}$ which is the originally given ratio.

Hope this helps :)