Question 860218: Tickets for a play cost $14 for the main floor and $9 for the Balcony. There were fifty more main floor tickets sold than balcony tickets. If the total receipts were $3,000, how many tickets were sold?
Basically, I know and understand how to find let's say the amount of each ticket, but am not sure how to answer this problem where it doesn't tell you how many tickets total.
I usually draw a visual graph to make things easy, so I would like to do an example problem using it...and see if you can help me use it to solve my tickets problem.
EX. There are 35 coins in quarters and nickels. Value of $6.15. How many Quarters, how many nickels?
# tickets cents per total cents
Quarters x 25 25x
Nickels 35-x 5 5(35-x)
Total 35 --- 615
then I take the right side and turn it into an equation:
25x + 5(35-x) = 615
25x + 175-5x = 615
20x + 175 = 615
20x = 440
x = 22
Substitute x=22 into equation and you get the 13 nickels as well.
Can you think of a way to visually use the same sort of technique to answer my original question? It's probably something so simple, I just can't think of it.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
Key: There were fifty more main floor tickets sold than balcony tickets
Balcony x
M-Floor x + 50
$14(x+50) + 9x = $3000
23x = 3000 - 700
23x = 2300
x = 100 Balcony Tickets. 150 Floor Tickets
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