algebra word problem

Question

The grade 6 music Club sold tickets to a concert. They sold 80 tickets at $7 each at the door and sold 50 tickets at $5 each during lunch. They spent $100 on programs and paid $75 per hour for the 3-hour concert to be recorded. Write and simplify an expression that models the total money raised after expenses, from the concert

Answer 1

80x7+50x5 -100- 75(3)

= 560 [phone]

=810- 325

= $485 raised= net revenue

= total revenue minus total costs

Answer 2

Hi Asma!

The expression that we will have will be: 80 * ($7) + 50 * ($5) - $100 - 3 * ($75).

The 80 * ($7) + 50 * ($5) are added together as this is where you are making money. You make 80 * ($7) because you sell 80 tickets each for $7, and the 50 * ($5) because you sell 50 tickets at $5 each. The expenses have to be subtracted. The expenses here are the $100 that you paid in programs and the $75 you pay for 3 hours (thats why you multiply $75 by 3!). That is why there is a minus sign between them.

The expression is above, but if you wanted to simplify the expression it would be $560 + $250 - $100 - $225 = $485. Hopefully this makes sense! If you have any questions feel free to let me know.