SOLUTION: The cost of admission to the spring carnival was $39 for a group of 8 children and 3 adults. The admission was $43 for another group of 11 children and 2 adults. What was the admis
Question 693890: The cost of admission to the spring carnival was $39 for a group of 8 children and 3 adults. The admission was $43 for another group of 11 children and 2 adults. What was the admission price for each child? What was the admission price for each adult? Answer by Stitch(470) (Show Source):
You can put this solution on YOUR website! Let A = the cost of a child
Let B = the cost of an adult
Equation 1:
Equation 2:
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You can rewrite the equations to make them equal zero.
Then you can set the two equations equal to each other.
Subtract 8A from both sides
Add 39 to both sides
Subtract 2B from both sides
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Now plug (3A - 4) into one of the equations for B
Equation 2:
Simplify
Combine like terms
Add 8 to both sides
Divide both sides by 17
Now using A = 3, solve for B
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