Question 860217
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? 
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Quantity Equation: m = b + 50
Value Equation:::: 14m + 9b = 3000 dollars
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Substitute for "m" and solve for "b":
14(b+50) + 9b = 3000
14b + 700 + 9b = 3000
23b = 2300
b = 100 (# of balcony tickets sold.
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Solve for "m":
m = b + 50
m = 100 + 50 = 150 (# of main floor tickets sold)
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Cheers,
Stan H.
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