Answer:
30 first-class tickets were sold and 260 coach tickets were sold.
Step-by-step explanation:
Let a first-class ticket be represented by f and let a coach ticket be represented by c.
On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:
[tex]f+c=290[/tex]
The total income was $95,280. Therefore:
[tex]680f+288c=95280[/tex]
We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:
[tex]85f+36c=11910[/tex]
From the first equation, we can subtract f from both sides:
[tex]c=290-f[/tex]
Substitute:
[tex]85f+36(290-f)=11910[/tex]
Distribute:
[tex]85f+10440-36f=11910[/tex]
Simplify:
[tex]49f=1470[/tex]
So:
[tex]f=30[/tex]
From the previous equation:
[tex]c=290-f[/tex]
Substitute:
[tex]c=290-30=260[/tex]
30 first-class tickets were sold and 260 coach tickets were sold.
