SOLUTION: Soccer game. There were 1000 more students at the soccer game than nonstudents. Student tickets were $8.50 and nonstudent tickets were $13.25. If the total revenue for the game

Question 159274This question is from textbook elementary & intermediate algebra
: Soccer game.
There were 1000 more students at the soccer game than nonstudents. Student tickets were $8.50 and nonstudent tickets were $13.25. If the total revenue for the game was $75,925, then how many tickets of each type were sold? This question is from textbook elementary & intermediate algebra

Found 2 solutions by jojo14344, nerdybill:
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Remember: Number of tickets
, no. of non students
, no. of students
Therefore,
----------------> working eqn

------------------------------> no. of Nonstudents
----------------------> no. of Students
In doubt? go back working eqn:

Thank you,
Jojo

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
There were 1000 more students at the soccer game than nonstudents. Student tickets were $8.50 and nonstudent tickets were $13.25. If the total revenue for the game was $75,925, then how many tickets of each type were sold?
.
Let x = non-student tickets
then from "There were 1000 more students at the soccer game than nonstudents"
x+1000 = student tickets
.
And, because total revenue was $75,925:
13.25x + 8.50(x+1000) = 75925
13.25x + 8.50x + 8500 = 75925
21.75x + 8500 = 75925
21.75x = 67425
x = 3100 (non-student tickets)
.
student tickets:
x+1000 = 3100+1000 = 4100 (student tickets)
RELATED QUESTIONS
For a soccer game, there were 120 tickets sold for students and adults for a total of... (answered by stanbon)
There were 411 tickets sold for a soccer game, some for students and some for... (answered by ewatrrr)
Three hundred and fifty-eight tickets to the school basketball game on Friday were sold. (answered by josmiceli)
The admission to a soccer game is $8.50 for adults and $5.50 for students. If 744 tickets (answered by Fombitz)
There were 1500 people at a high school football game. Student tickets were $2.00 and... (answered by doukungfoo)
There were 1500 people at a high school football game. Student tickets were $2.00 and... (answered by elima)
There were 300 people at the football game. There were 6 more students than adults at the (answered by MathLover1)
Tickets for a concert were priced at $8 for students and $10 for nonstudents. There were... (answered by stanbon)
Tickets for a concert were priced at $8 for students and $10 for nonstudents. There were... (answered by Alan3354)