Question

Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourists class. If a flight had 52 passengers who paid $1360, how many first class and tourist class passengers were there?

Answer 1

`color(magenta)(" There were 40 tourist class passengers and 12 first class passengers. "`

Explanation:

`"Let the number of passengers who booked for tourist class be"= x`

`"Then, number of passengers who booked for first class" = 52-x`

`"According to question,"`

`color(red)("Total money paid = $25(tourist class)+$30(first class) "`

`$1360=$25(x)+$30(52-x)`

`1360=25x+1560-30x`

`1360-1560=25x-30x`

`-200=-5x`

`x=(cancel-200)/(cancel-5)`

`color(blue)(x=40`

`"So, there were 40 tourist class passengers."`

`"Now first class passengers" = 52-x`

`=52-40`

`color(blue)(=12`

`therefore` `color(magenta)(" There were 40 tourist class passengers and 12 first class passengers. "`

`color(green)("As a check"`

`color(red)("Total money paid = $25(tourist class)+$30(first class) "`

`RHS=$25(40)+$30(12)`

`$1000+$360`

`=$1360`

`LHS=$1360`

`"Hence verified."`

`-"Hope this helps! :)"`