Quinn is selling raffle tickets. The Ultra tickets cost $3 and the deluxe tickets cost $2. Quinn sold 89 tickets for $235. How many of each ticket did Quinn sell?

Answer 1

Let x = number of ultra tickets and y = number of deluxe tickets

x + y = 89
3x + 2y = 235

-> -3(x + y = 89)
= -3x + -3y = -267

-3x + -3y = -267
+ 3x + 2y = 235
____________________

-y = -32
y = 32

x + y = 89
x + 32 = 89
x = 57

Quinn sold 57 Ultra tickets and 32 deluxe tickets.

Answer 2

U+D=89
3U+2D=235

D=89-U
3U+2(89-U)=235
solve for U first.