SOLUTION: adult ticket prices are 8 dollars kid ticket prices are 5 dollars if 500 tickets were sold and the total amount of the tickets equals 3475 dollars, how do i find how many adult and
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Question 203232: adult ticket prices are 8 dollars kid ticket prices are 5 dollars if 500 tickets were sold and the total amount of the tickets equals 3475 dollars, how do i find how many adult and child ticket prices were sold?
I got the answer I came up with 325 adults, and 175 kids, but HOW do I show the work, how do I set up the equation. it was on my job interview today... i felt really stupid
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let
x = # of adult tickets sold
y = # of child tickets sold
Since "500 tickets were sold" total, this means that
Also, because "adult ticket prices are 8 dollars kid ticket prices are 5 dollars", and "the total amount of the tickets equals 3475 dollars", we get the second equation
So we have the system of equations:
Start with the first equation.
Subtract from both sides.
Rearrange the terms and simplify.
-------------------------------------------
Move onto the second equation.
Now plug in .
Distribute.
Combine like terms on the left side.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
-------------------------------------------
Since we know that , we can use this to find .
Go back to the first equation.
Plug in .
Subtract from both sides.
Combine like terms on the right side.
So the solutions are and .
This means that 325 adult tickets and 175 child tickets were sold.
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