Answer is 250 hamburgers
First our equation
We know there are x cheeseburgers and y hamburgers for a total of 448
And we know there are 52 fewer cheeseburgers sold than hamburgers
x + y = 448
x = y - 52
Solve by substituting the 2nd equation “x” value into the first equation
y-52+ y = 448
Combine like terms
2y - 52 = 448
add 52 to both sides to isolate y
2y -52 + 52 = 448 + 52
2y = 500
Now divide both sides by 2 to solve for y
2/2 y = 500/2
y = 250 hamburgers
Now substitute our y value into one equation to solve for x
x + 250 = 448
Subtract 250 from both sides to solve for x
x + 250 - 250 = 448 - 250
X = 198 cheeseburgers
We can check our work by substituting our x and y values into one of the equations
x = y - 52
198 = 250 - 52
198 = 198
Problem solved!