The drama club sold $779 worth of tickets to the school play. Student tickets cost $3 apiece and tickets for everyone else cost $5 each. What equation relates the number of student tickets that were sold, s, and the number of other tickets that were sold, t, written in standard form?
Just add up the revenue from each kind of ticket. The total must be 779:
3s+5t = 779
thank you
Let's start by writing down the given information:
1) The drama club sold $779 worth of tickets.
2) Student tickets cost $3 apiece.
3) Tickets for everyone else cost $5 each.
Now, let's define the variables:
Let s be the number of student tickets sold.
Let t be the number of other tickets sold.
To find the equation that relates s and t, we need to consider the total income generated from the ticket sales.
The income from student tickets is given by $3 multiplied by the number of student tickets sold, which is 3s.
The income from other tickets is given by $5 multiplied by the number of other tickets sold, which is 5t.
The total income from ticket sales is $779.
Therefore, we can write the equation:
3s + 5t = 779
This equation relates the number of student tickets sold, s, and the number of other tickets sold, t, written in standard form.
To find the equation that relates the number of student tickets sold, s, and the number of other tickets sold, t, we need to consider the total revenue generated from ticket sales.
The revenue from selling student tickets can be calculated by multiplying the number of student tickets, s, by the price per student ticket, $3. So, the revenue from student tickets is 3s.
Similarly, the revenue from selling other tickets can be calculated by multiplying the number of other tickets, t, by the price per other ticket, $5. Therefore, the revenue from other tickets is 5t.
The total revenue from ticket sales is equal to the sum of the revenue from student tickets and the revenue from other tickets. In this case, the total revenue is $779.
So, the equation relating the number of student tickets sold, s, and the number of other tickets sold, t, is:
3s + 5t = 779
This equation is written in standard form, where the variables are on one side and the constant is on the other side of the equation.