SOLUTION: there were 336 tickets sold for a basketball game. The activity cardholders' tickets cost $1.25 and the non-cardholders' tickets cost $2.00. The total amount of money collected was

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Question 363647: there were 336 tickets sold for a basketball game. The activity cardholders' tickets cost $1.25 and the non-cardholders' tickets cost $2.00. The total amount of money collected was $534.75. How many of each kind of tickets were sold?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=336 OR X=336-Y
1.25X+2Y=534.75
1.25(336-Y)+2Y=534.75
420-1.25Y+2Y=534.75
.75Y=534.75-420
.75Y=114.75
Y=114.75/.75
Y=153 $2.00 TICKETS WERE SOLD.
336-153=183 $1.25 TICKETS WERE SOLD.
PROOF:
1.25*183+2*153=534.75
228.75+306=534.75
534.75=534.75