Asked by B
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?
Answers
Answered by
Kid
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.
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.
Answered by
bobpursley
U+D=89
3U+2D=235
D=89-U
3U+2(89-U)=235
solve for U first.
3U+2D=235
D=89-U
3U+2(89-U)=235
solve for U first.
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