SOLUTION: Please show me steps to solve this word problem: 145 tickets are sold for opening night. Only $2 tickets and $5 tickets were sold. The total value of the tickets sold is $524. H

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Question 111858: Please show me steps to solve this word problem:
145 tickets are sold for opening night. Only $2 tickets and $5 tickets were sold. The total value of the tickets sold is $524. How many $2 tickets and how many $5 tickets were sold.
Thanks.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=145 OR X=145-Y
2X+5Y=524 OR
2(145-Y)+5Y=524
290-2Y+5Y=524
3Y=524-290
3Y=234
Y=234/3
Y=78 THE NUMBER OF 5$ TICKERTS WERE SOLD.
X+78=145
X=145-78
X=67 NUMBER OF 2$ TICKETS WERE SOLD.
PROOF
2*67+5*78=524
134+390=524
524=524