SOLUTION: Bill and Ken went to the fair. The cost of a ride is consotant across all of the rides. Bill paid a total of $34 for admission to the fair plus 6 rides. Bill saved the rest of h

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Question 179118: Bill and Ken went to the fair. The cost of a ride is consotant across all of the rides. Bill paid a total of $34 for admission to the fair plus 6 rides. Bill saved the rest of his money for drinks. Ken paid a total of $42 for admission plus 8 rides. Ken saved the rest of his money for the taxi home. What is the cost per ride?
What is the cost of admission? Write a formula that expresses y interms of x.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let x and y be the price of admission and cost per ticket respectively
:
x+6y=34.......eq 1
x+8y=42.......eq 2
:
subtract eq 2 from eq 1
:
x terms are eliminated because x-x=0. We are left with 6y-8y=34-42
:
-2y=-8
:
highlight%28y=4%29price per ticket
:
take y's value and plug it into either eq 1 or 2. I chose eq 1
:
x+6(4)=34
:
x+24=34
:
highlight%28x=10%29price of admission