A local hamburger shop sold a combined total of 825 hamburgers and cheeseburgers on Sunday. There were 75 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

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

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