Tickets for a baseball game are $69 for Main Level seats and $39 for Terrace Level seats. A group of 16 friends went to the game and spent a total of $804 for the tickets. How many Main Level tickets and how many Terrace Level tickets did they buy?
No. of Main Level tickets = X
No. of Terrace Level tickets = 16 - X
Main Level tickets prace = 69X
Terrace Level tickets prace = 39X
total price = 804 = 39(16 - X) + 69X = 624 - 39X + 69X = 624 + 30X
30X = 804 - 624 = 180
X = 180/30 = 6
No. of Main Level tickets = X = 6
No. of Terrace Level tickets = 16 - X = 16 - 6 = 10
Check: 39x10 + 69x6 = 390 + 414 = 804