Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 13 people took the trip. She was able to purchase coach tickets for $110 and first class tickets for $1190. She used her total budget for airfare for the trip, which was $8990. How many first class tickets did she buy? How many coach tickets did she buy?

Answer 1

Sarah bought 7 first class tickets and 5 coach tickets.

Step-by-step explanation:

To find how many first class tickets and coach tickets Sarah bought, we can set up a system of equations:

Let x be the number of first class tickets and y be the number of coach tickets.

We know that the total number of people who took the trip including Sarah is 13, so x + y + 1 = 13.

We also know that the total cost of the tickets is $8990, so 1190x + 110y = 8990.

We can solve this system of equations to find the values of x and y.

Multiplying the first equation by 110, we get 110x + 110y + 110 = 1430.

Subtracting this equation from the second equation, we get 1190x - 110x = 8990 - 1430.

Simplifying, we get 1080x = 7560.

Dividing both sides by 1080, we find that x = 7.

Substituting this value into the first equation, we can solve for y: 7 + y + 1 = 13.

Simplifying, we find that y = 5.

Therefore, Sarah bought 7 first class tickets and 5 coach tickets.