SOLUTION: Six hundred people attended the premiere of a motion picture. Adult tickets cost $14, and children were admitted for $2. If box office receipts totaled $3840, how many children att
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Question 902786: Six hundred people attended the premiere of a motion picture. Adult tickets cost $14, and children were admitted for $2. If box office receipts totaled $3840, how many children attended the premiere?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+c=600,
14*a+2*c=3840
a=600-c
14*(600-c)+2*c=3840
8400-14c+2*c=3840
-12*c=-4560
c=380
a=600-c
a=220 at $14 and c=380 at $2
check
220+380=600
14*a+2*c=3840
14*220+2*380=3840
3080+760=3840
3840=3840
ok
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