Keisha is selling tickets for the dance. Tickets purchased in advance cost four dollars well tickets at the door cost six dollars. Is 325 tickets are sold and $1430 is collected how many tickets were sold in advance

Let x represent tickets sold at the door

Let y represent tickets sold in advance

therefore,

5x + 3y = 460 ( this is the statement for total amount of money)

x + y = 100 ( this is the statement for number of tickets sold)

now use either equation to solve for y, it just happens that x + y = 100 is the easiest to do this with,

this gives use the answer,

y = 100 - x

now plug this into our money equation and you get,

5x + 3(100-x) = 460

now simplify,

5x + 300 - 3x = 460

2x = 160

x = 80

Therefore, 80 tickets were sold at the door.

Step-by-step explanation:

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