On a particular flight, the airline's income was $95,280 for a jumbo jet carrying 290 passengers. If a first-class ticket costs $680 and a coach ticket costs $288, how many of each ticket were sold for the flight?

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.

answer: what

step-by-step explanation:

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square