Question 212492
The oak street theater sells adult tickets for $7.50 each, and childrens tickets for $2.00 each. On a certain day, they sold 75 tickets, and made a total of $408.50. How many of each type of ticket did they sell? 
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Quantity Equation: a + c = 75
Value Equation:  7.5a+2c = 408.50
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Multiply thru the Quantity Eq by 2 to set it up for elimination:
2a + 2c = 150
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Subtract that from the Value Equation:
5.5a = 258.5
a = 47 (# of adults)
c = 75-47 = 28 (# of children)
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Cheers,
Stan H.