airline fares for a flight from dallas to austin are $30 for first class and $25 for tourist class. if a flight had 52 passengers who paid a total of $1360, how many first class passengers were on the trip?

Question

airline fares for a flight from dallas to austin are $30 for first class and $25 for tourist class. if a flight had 52 passengers who paid  a total of $1360, how many first class passengers were on the trip?

zepdrix · Answer

Let F be the number of number of first class passengers
Let T be the number of tourist class passengers.

$30 per (F)first class + $25 per (T)tourist class = $1360.
$$30F + 25T = 1360$$Total number of passengers is 52.
$$F + T = 52$$
So we have a system of 2 equations, with 2 unknowns.
To solve this, we can use either substitution or elimination.
Are you familiar with either method? c:

babystar16 · Answer

yes i just had problems solving it

zepdrix · Answer

$$F+T=52$$$$T=52-F$$
Plugging this into the other equation gives us.
$$30F+25T=1360$$$$30F+25(52-F)=1360$$$$30F+1300-25F=1360$$$$5F=60$$$$F=12$$
So that's how we would find F. Confused about any of the steps? :o

zepdrix · Answer

This is the substitution method :3