Suppose that there are two types of tickets to a show: advance and same-day. the combined cost of one advance ticket and one same-day ticket is $65 . for one performance, 20 advance tickets and 30 same-day tickets were sold. the total amount paid for the tickets was $1700 . what was the price of each kind of ticket?

So for this, we will create a system of equations. With our information given, these are our two equations (let x = advance and y = same-day):

So for this system, I will be using the substitution method. With the first equation, subtract both sides by y:

Now that we know that x is equal to 65 - y, substitute that into the second equation and solve for y:

Now that we know the value of y, substitute that into either equation to solve for x:

In short:

60%

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