On Monday, a local hamburger shop sold a combined total of 476 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

sold = t

hamburgers = h

cheeseburgers = c

h + 3h = t

h represents the amount of hamburgers. 3h is equivalent to c, since we know that the number of cheeseburgers cold was three times the number of hamburgers sold. We add the two because it is a combined total.

Now we input the value for t, which is the total number of hamburgers and cheeseburgers sold, which is 516.

h + 3h = 516

Now you can solve for h.

Add the h to 3h,

h + 3h = 516

which gives you:

4h = 516

Divide both sides by 4, which gives you:

h = 129.