SOLUTION: Admission to the zoo cost $15.00 for adults and $5.00 for children. A group of 19 people attending the zoo paid a total of $155.00 in admission fees. How many adults attended and

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Admission to the zoo cost $15.00 for adults and $5.00 for children. A group of 19 people attending the zoo paid a total of $155.00 in admission fees. How many adults attended and       Log On


   

Question 955953: Admission to the zoo cost $15.00 for adults and $5.00 for children. A group of 19 people attending the zoo paid a total of $155.00 in admission fees. How many adults attended and how many children attended.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=adult; C=child
A+C=19
C=19-A
$15A+$5C=$155 Substitute for C,
$15A+$5(19-A)=$155
$15A+$95-$5A=$155 Subtract $95 from each side.
$10A=$60
A=6 ANSWER 1: there were 6 adults.
C=19-A=19-6=13 ANSWER 2: There were 13 children.
CHECK:
$15A+$5C=$155
$15(6)+$5(13)=$155
$90+$65=$155
$155=$155