SOLUTION: How do I solve this ? A total of 150 tickets were sold for an annual concert to students and non students. Student tickets were $5 and non students were $8. If the total revenue fo

Algebra.Com
Question 623736: How do I solve this ? A total of 150 tickets were sold for an annual concert to students and non students. Student tickets were $5 and non students were $8. If the total revenue for the concert was $930, then how many tickets of each were sold ?
Found 2 solutions by fcabanski, ewatrrr:
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
There are two relationships described.


#1...total tickets which is made up of student tickets (s) and non student tickets (n) totals 150. Set up an equationL s+n=150. Solve one in terms of the other: s=150-n.


#2 Student tickets are $5 so the total revenue from student tickets is 5s (5 dollars times the number (s) of student tickets.) Total revenue from non student tickets (n) is 8n. The total revenue was $930 so 5s + 8n = 930.


Substitute the s in terms of n (s=150-n) into that second equation (5s + 8n =930)


5(150-n) + 8n = 930 --> 750 -5n + 8n = 930 ---> 3n = 180 ---> n=60.


s=150-n = 150-60 = 90.

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

 
Hi,
A total of 150 tickets were sold for an annual concert to students and non students.
Student tickets were $5 and thenon students were $8.
total revenue for the concert was $930
Question states***
$8x + $5(150-x) = $930 Solve for x
3x = 180
x = 60, the number of $8 tickets. There were 90 $5 tickets sold
and
$8*60 + $5*90= $930
RELATED QUESTIONS

Annual concert. A total of 150 tickets were sold for the annual concert to students and... (answered by nerdybill)
A total of 150 tickets were sold for the annual concert to students and non students.... (answered by jorel1380)
Tickets for a school concert were priced at $3 for students and $6 for non-students.... (answered by jorel1380)
613 concert tickets were sold for a total of $4276. If students paid $2 and non students... (answered by Edwin McCravy)
2791 concert tickets were sold for a total of $34,715. If students paid $10 per ticket... (answered by ikleyn)
Tickets for a school concert were priced at $3 for students and $14 for non-students.... (answered by CubeyThePenguin)
Tickets for a concert were priced at $8 for students and $10 for non students. there were (answered by scott8148)
311 Tickets sold for a total of 385.50. student tickets = .50 and non students cost 1.50. (answered by checkley77,scott8148)