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Question 1203064: There were 415 tickets purchased for a major league baseball game. The upper level  tickets cost ​$12.50 and the tickets cost ​$8.00 The total amount of money spent was ​$4085.00 How many of each kind of ticket were​ purchased?
Answer by ikleyn(52894)   (Show Source):
You can put this solution on YOUR website! .
x tickets at the price $12.50, and
(415-x) tickets at the price $8.00.
Write the total cost equation
12.50x + 8*(415-x) = 4085 dollars.
Simplify and find x
12.50x + 3320 - 8x = 4085,
12.50x - 8x = 4085 - 3320
4.50x = 765
x = 765/4.50 = 170.
ANSWER. 170 tickets at the price of $12.50 and the rest, 415-170 = 245 tickets at the price of $8.
CHECK. 12.50*170 + 8*245 = 4085, total cost. ! correct !
Solved.
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To see many other similar solved problems using one equation in one unknown, look into the lesson
- Typical problems on buying and selling items
in this site.
To see many other similar solved problems using systems of two equations in two unknowns, look into the lesson
- Using systems of equations to solve problems on tickets
in this site.
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