1. “Systems of Linear Equations” American Airlines sold a certain number of tickets from Los Angeles to Hawaii. They charged $90
for flight x and the remaining tickets for $250 for flight y. If the airline sold 120 tickets and
collected a total of $27,600 from the sale of those tickets:
a) Set up the System of Linear Equations
b) How many tickets of each flight were sold?
c) How much money was made from each flight?

Part A)

Part B)

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Flight X made $1,350 and Flight Y made $26,250.

Step-by-step explanation:

Let the amount of tickets sold by Flight X be represented by x and the amount of tickets sold by Flight Y be represented by y.

Part A)

The airline sold 120 tickets in total. Hence:

Each x ticket costs $90 and each y ticket costs 250. The total income was $27,600. Thus:

Our system of equations is:

Part B)

Solve the system of equations. We can use substitution. From the first equation, subtract y from both sides:

In the second equation, we can divide everything by 10 and substitute in x:

Simplify:

So:

Using the equation above:

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Since each ticket of Flight X sold for $90 and Flight X sold 15 tickets, Flight X made $1,350.

Then it follows that Flight Y made $26,250.

It 's c my friend

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