each member of the committee has agreed to sell 50 tickets to the fair. student tickets r $3 each and adult tickets r $5 each. let t represent the number of student tickets that u sell. write a simplified expression in terms of t for the total amount of money u raise for selling all 50 tickets.
any help would be apprecited
thks
students tickets -- t
adult tickets --- 50-t
money raised = 3t + 5(50-t)
= 3t + 250 - 5t
= 250 - 2t
To find the total amount of money raised for selling all 50 tickets, we need to calculate the cost of both student and adult tickets.
Let's start with the student tickets:
Each student ticket costs $3, and we need to sell t number of student tickets. Therefore, the total cost for selling t student tickets is 3t dollars.
Now, let's move on to the adult tickets:
Each adult ticket costs $5, and since we are selling 50 tickets in total and t of those are student tickets, the remaining (50 - t) tickets must be adult tickets. Thus, the total cost for selling the adult tickets is 5(50 - t).
Finally, to get the total amount of money raised for selling all 50 tickets, we add the cost of student tickets to the cost of adult tickets:
Total amount raised = Cost of student tickets + Cost of adult tickets
= 3t + 5(50 - t)
Therefore, the simplified expression in terms of t for the total amount of money raised for selling all 50 tickets is 3t + 5(50 - t).