Question

Sarah took the advertising department from her company on a round-trip to meet with potential client including Sharon a total of eight people took the trip she was able to purchase coat tickets for $180 and a first class ticket tickets for $1150 she used her total budget airfare for the trip, which was 3380. How many first class ticket did she buy? How many coach tickets did she buy?

Answer 1

Sarah bought 2 first class tickets and 6 coach tickets.

Step-by-step explanation:

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

From the given information, we can set up the following system of equations:

180x + 1150y = 3380 --> (1)

x + y = 8 --> (2)

To solve this system of equations, we can use the substitution method. We can solve equation (2) for x and substitute it into equation (1).

From equation (2), we have x = 8 - y. Substituting this into equation (1), we get:

180(8 - y) + 1150y = 3380

1440 - 180y + 1150y = 3380

970y = 1940

y = 2

Substituting the value of y back into equation (2), we get:

x + 2 = 8

x = 6

Therefore, Sarah bought 2 first class tickets and 6 coach tickets.