SOLUTION: Sammy sold 700 tickets totaling $13330. If the tickets were $25 adi;ts amd $15 students, how many of each ticket did Sammy sell?

Algebra ->  Systems-of-equations -> SOLUTION: Sammy sold 700 tickets totaling $13330. If the tickets were $25 adi;ts amd $15 students, how many of each ticket did Sammy sell?       Log On


   

Question 297277: Sammy sold 700 tickets totaling $13330. If the tickets were $25 adi;ts amd $15 students, how many of each ticket did Sammy sell?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = number of adult tickets sold
Let s = number of student tickets sold
given:
(1) a+%2B+s+=+700
(2) 25a+%2B+15s+=+13330
-----------------------
Multiply both sides of (1) by 15 and
subtract from (2)
25a+%2B+15s+=+13330
-15a+-+15s+=+-10500
10a+=+2830
a+=+283
and, since
a+%2B+s+=+700
s+=+700+-+283
s+=+417
Sammy sold 283 adult and 417 student tickets
check:
25%2A283+%2B+15%2A417+=+13330
7075+%2B+6255+=+13330
13330+=+13330
OK