SOLUTION: Movie tickets for an adult and three children cost $20. An adults ticket cost $2 more than a childs ticket. Find the cost of the adult's ticket.

Click here to see ALL problems on Linear Equations And Systems Word Problems

Question 271184: Movie tickets for an adult and three children cost $20. An adults ticket cost $2 more than a childs ticket. Find the cost of the adult's ticket.
Found 3 solutions by stanbon, richwmiller, craigt:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
Movie tickets for an adult and three children cost $20. An adults ticket cost $2 more than a childs ticket. Find the cost of the adult's ticket.
-----------------------
Equations:
A + 3C = 20
A = C + 2
---------------------
Substitute into the 1st equation and solve for "C":
(c+2) + 3c = 20
4c = 18
c = 9/2
c = $4.50 (cost for a child's ticket)
-----
Since A = C+2, A = 4.50+2 = 6.50 (cost of an adult ticket)
============================================================
Cheers,
stan H.

Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!
a+3c=20
a=c+2
c+2+3c=20
4c=18
c=4.50
a=6.50

Answer by craigt(10)   (Show Source):
You can put this solution on YOUR website!
x=Cost for Children
y=Cost for Adults
Total cost is $20
Adults are children's cost plus $2

, , x=$4.50
Adults= $4.50+$2 = $6.50