tickets to a school play cost 1.5 in advance and 2.0 at gate. by selling all 200 tickets students got $360. how many tickets did they sell in advance?
360=A*1.5+(400-A)2
solve for A
To find out how many tickets were sold in advance, we can set up an equation based on the given information.
Let's assume that the number of tickets sold in advance is 'x'. Therefore, the number of tickets sold at the gate would be '200 - x' (since the total number of tickets sold is 200).
Now, let's calculate the total revenue from ticket sales:
Revenue from advance tickets = ticket price × number of advance tickets sold = 1.5 * x
Revenue from gate tickets = ticket price × number of gate tickets sold = 2.0 * (200 - x)
The total revenue from ticket sales is $360, so we can set up the equation:
1.5x + 2.0(200 - x) = 360
Now let's solve this equation to find the value of 'x', which represents the number of tickets sold in advance.
1.5x + 2.0(200 - x) = 360
1.5x + 400 - 2x = 360
-0.5x + 400 = 360
-0.5x = 360 - 400
-0.5x = -40
x = -40 / -0.5
x = 80
Therefore, the number of tickets sold in advance is 80.