Answer:
- 65 couple tickets
- 50 individual tickets
Step-by-step explanation:
The two equations are for the revenue and the number of attendees.
3p +5c = 475 . . . . . . revenue from ticket sales (dollars)
p +2c = 180 . . . . . . . number of attendees (2 persons per couple)
Substituting (180-2c) for p in the first equation, we get ...
3(180 -2c) +5c = 475
540 -c = 475 . . . . . . . . . simplify
540 -475 = c = 65 . . . . . add c-475
p = 180 -2(65) = 50 . . . . find p from c
65 couple tickets and 50 individual tickets were sold.
