SOLUTION: Cora and her family are going to an amusement park.there are 2 adults and 3 kids.the tickets cost the family 70$. Adults are twice as much as children .if they are in the park for

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Cora and her family are going to an amusement park.there are 2 adults and 3 kids.the tickets cost the family 70$. Adults are twice as much as children .if they are in the park for       Log On


   

Question 950048: Cora and her family are going to an amusement park.there are 2 adults and 3 kids.the tickets cost the family 70$. Adults are twice as much as children .if they are in the park for 5 hours, how much did their trip to the amusement park cost per person, per hour.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=adult cost=2C; C=child cost
2A+3C=$70 Substitute for A
2(2C)+3C=$70
4C+3C=$70
7C=$70
C=$10 The cost was $10 per child.
$10/5 hours=$2/hour The cost per hour for a child was $2/hr.
A=2C=$20 The cost was $20 per adult.
$20/5 hours=$4/hour The cost per hour for an adult was $4/hr.
The average cost per person per hour was:
($70/5 people)=$14/person
($14/person)/ 5 hrs=$2.80/person/hr The average cost per person for the family was $2.80 per hour.