Problema Solution

a basketball team sells tickets that cosy $10,$20, and $30. The team has sold 503 ticket overall. It has sold 202 more $20 tickets than $10 tickets. The total sales are $9410. How many tickets of each kind have been sold?

Answer provided by our tutors

let 'x' represent the number of $10 tickets sold, then 'x+202' represents the number of $20 tickets sold and '503-x-(x+202)' represents the number of $30 tickets sold


9410 = 10x + 20(x+202) + 30(503-x-(x+202))

solving for 'x' we have x=122


122+202 = 324

503 - 324 - 122 = 57


57 $30 tickets were sold

324 $20 tickets were sold

122 $10 tickets were sold