Problema Solution
A concert hall has three sections: the main floor, the balcony, and the gallery. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets.
Write a variable expression to represent the number of tickets sold in each section.
For a recent concert 1020 tickets were sold. How many tickets were purchased for each section?
Answer provided by our tutors
Let
x = gallery tickets sold
2x = balcony tickets sold
2x + 225 = main floor tickets
The total number of tickets sold was 1020:
x + 2x + (2x + 225) = 1020
........
click here to see the equation solved for x
........
x = 159 tickets
There were 159 gallery, 2*159 = 318 balcony and 318 + 225 = 543 main floor tickets sold.