For a sporting event 6,000 tickets were sold, and the proceeds were $78,000. Tickets for children 16 and younger, were $8, adults were $16, and seniors 60 and older were $12. There were 2 times more adults than children at the sporting event.
What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the sporting event?
⎧⎩⎨⎪⎪
c+a+s=6,0008
c+12a+16s=78,0002
a=c
Left curly bracket. First line. c plus a plus s equals 6,000. Second line. 8 c plus 12 a plus 16 s equals 78,000. Third line. 2 a equals c.
c+a+s=6,000
8c+16a+12s=78,000
a=2c
Left curly bracket. First line. c plus a plus s equals 6,000. Second line. 8 c plus 16 a plus 12 s equals 78,000. Third line. a equals 2 c.
+a+s=6,0008
c+12a+16s=78,000
a=2c
Left curly bracket. First line. c plus a plus s equals 6,000. Second line. 8 c plus 12 a plus 16 s equals 78,000. Third line. a equals 2 c.
c+a+s=6,000
8c+16a+12s=78,000
2a=c
