Tickets to the valentine dance cost $3 per person or $5 per couple.
$475 worth of tickets were sold and 180 people attended the dance.
write a system of equations to represent this problem. how many couple tickets were sold? how many individual tickets were sold?
you should have two equations. show your work.

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.

a is the right answer