SOLUTION: Sue 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?

Question 1109505: Sue 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 ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Sue 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?
:
let a = the price of adult tickets
let c = the price of children's
:
Write an equation for each statement
:
"Sue paid $46 for 2 adult and 4 child tickets to a play."
2a + 4c = 46
" Karen paid $86 for 4 adult and 7 child tickets to the same play."
4a + 7c = 86
:
We can use elimination, multiply the 1st equation by 2, subtract the 2nd
4a + 8c = 92
4a + 7c = 86
----------------subtraction eliminates a, find c
0 + c = $6 for a child's ticket
:
I'll let you find a, check in both equations
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