SOLUTION: Adult tickets for a play cost $6.00, and children's tickets cost $2.50. For one performance, 370 tickets were sold. Receipts for the performance were $1723. Find the number of a

Question 209377: Adult tickets for a play cost $6.00, and children's tickets cost $2.50. For one performance, 370 tickets were sold. Receipts for the performance were $1723. Find the number of adult tickets sold.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Adult tickets for a play cost $6.00, and children's tickets cost $2.50. For one performance, 370 tickets were sold. Receipts for the performance were $1723. Find the number of adult tickets sold.
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Equations:
Quantity Eq: a + c = 370
Value Eq::::6a + 2.5c = 1723
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Modify the 1st equation to set up the system for elimination:
2.5a + 2.5c = 2.5*370
---
Sutract that from the Value equation and solve for "a":
3.5a = 798
a = 228 (# of adult tickets sold)
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Cheers,
Stan H.
Reply to stanbon@comcast.net
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