Check description Wouldnt fit

Question

There are 58 passengers on an airline flight. Passengers with first class paid $808 for their seats.Passengers with coach seats paid $208 for their seats. The total amount paid flight was $15,664. How many tickets of each type were sold?

Answer 1

Let f = first class and c = coach class

Here's what we know:

f + c = 58 (there're 58 seats of first and coach together)

808f + 208c = 15664 (total money paid for those tickets is $15,664)

 

Let's use substitution:

c = 58 - f (subtracted f from both sides to isolate c)

 

808f + 208(58 - f) = 15664

808f + 12054 - 208f = 15664

combine like terms:

600f + 12054 = 15664

subtract 12054:

600f = 3600

divide by 600:

f = 6

 

c = 58 - 6

c = 52

 

check:

808 * 6 + 208 * 52 = 15664

4848 + 10816 = 15664

15664 = 15664