Question

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 14 people took the trip. She was able to purchase coach tickets for $370 and first class tickets for $1140. She used her total budget for airfare for the trip, which was $10,570. How many first class tickets did she buy? How many coach tickets did she buy?
​

Answer 1

Answer:

She bought 7 coach tickets and 7 first class tickets.

Step-by-step explanation:

1. Set the equations up using y to represent first class and x to represent coach:

x + y = 14

370x + 1140y = 10,570

2. Use a graphing calculator to graph the equations and find the point where they intersect.  The intersection point will tell you the number bought:

Answer 2

Answer:

Sarah bought y = 8 first class tickets.

Step-by-step explanation:

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

 

330x + 1220y = 12730    (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17    (number of coach tickets plus number of first class tickets is total number of people)

 

 

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

 

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

 

 Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

 

9 + y = 17

y = 8

 

 

Sarah bought y = 8 first class tickets.

Hope this answer helps you :)

Have a great day

Mark brainliest