Hey there! I'm happy to help!
Let's call our hamburgers h and the cheeseburgers c. Now we can set up a system of equations.
h+c=825
c=h+75
We see that c is the same as h+75, so we can switch the c in the first equation with h+75 to solve for h.
h+h+75=825
We combine like terms.
2h+75=825
Subtract 75 from both sides.
2h=750
Divide both sides by 2.
h=375
There were 75 more cheeseburgers, so we add that to the hamburgers to find the number of cheeseburgers.
375+75=450
Therefore, there were 375 hamburgers and 450 cheeseburgers.
Have a wonderful day! :D
