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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:
The total income was $95,280. Therefore:
We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:
From the first equation, we can subtract f from both sides:
Substitute:
Distribute:
Simplify:
So:
From the previous equation:
Substitute:
30 first-class tickets were sold and 260 coach tickets were sold.