Question 959052: The school's fall musical was a big success. For opening night, 347 tickets were sold. Students paid $3.50 each, while non-students paid $5.50 each. If a total of $1450.50 was collected, how many students and how many non-students attended?
How do I solve this?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The school's fall musical was a big success. For opening night, 347 tickets were sold. Students paid $3.50 each, while non-students paid $5.50 each. If a total of $1450.50 was collected, how many students and how many non-students attended?
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Quantity:: s + n = 347
Value:: 3.5s + 5.5n = 1450.5
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Modify for elimination::
3.5s + 3.5n = 3.5*347
3.5s + 5.5n = 1450.5
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Subtract and solve for "n"::
2n = 236
n = 118 (# of non-student tickets sold)
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Solve for "s":
s = 347-118 = 111 (# of student tickets sold)
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Cheers,
Stan H.
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