For a concert, reserved seat tickets cost $28 and general admission tickets cost $15. A total of 250 tickets were sold, earning $4,270. solve the system of equations. how many of each type of ticket is sold
Let x be the number of reserved seat tickets sold and y be the number of general admission tickets sold.
From the given information, we have the following system of equations:
x + y = 250
28x + 15y = 4270
To solve this system of equations, we can use the substitution method. Rearranging the first equation to solve for x, we get:
x = 250 - y
Substitute x = 250 - y into the second equation:
28(250 - y) + 15y = 4270
7000 - 28y + 15y = 4270
-13y = -2730
y = 210
Substitute y = 210 back into x = 250 - y:
x = 250 - 210
x = 40
Therefore, 40 reserved seat tickets and 210 general admission tickets were sold.