Answer:
9 first class tickets
4 coach tickets
Step-by-step explanation:
Let x = number of first class tickets bought
Let y = number of coach tickets bought
Given:
- A total of 13 people took the trip
⇒ x + y = 13
Given:
- Total cost of first class tickets = $1180
- Total cost of coach tickets = $240
- Total budget = $11,580
⇒ 1180x + 240y = 11580
Rewrite first equation to make y the subject:
⇒ y = 13 - x
Substitute this into the second equation and solve for x:
⇒ 240(13 - x) + 1180x = 11580
⇒ 3120 - 240x + 1180x = 11580
⇒ 940x = 8460
⇒ x = 9
Therefore, 9 first class tickets were bought.
To find the number of coach tickets bought, simply substitute the found value of x into equation 1 and solve for y:
⇒ 9 + y = 13
⇒ y = 4
Therefore, 4 coach tickets were bought.
