SOLUTION: Erica paid $46 for 2 adult and 4 child tickets to a play. Karen paid $86 for 4 adult and 7 child tickets to the same play. What is the cost of 1 adult and 1 child ticket?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Erica paid $46 for 2 adult and 4 child tickets to a play. Karen paid $86 for 4 adult and 7 child tickets to the same play. What is the cost of 1 adult and 1 child ticket?      Log On


   

Question 873542: Erica paid $46 for 2 adult and 4 child tickets to a play. Karen paid $86 for 4 adult and 7 child tickets to the same play. What is the cost of 1 adult and 1 child ticket?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x price of child
y price of adult

SYSTEM
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4x+2y=46
-
7x+4y=86

Elimination Method without explanation:
8x%2B4y-%287x%2B4y%29=92-86
x=6
Meaning y=23-2%2A6=11