On Monday, a local hamburger shop sold a combined total of 279 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?

93

Step-by-step explanation:

Let's set this up with a system of equations.

Represent hamburgers with h, and cheeseburgers with c.

The shop sold 279 total, so our first equation is h+c=279.

The cheeseburgers were 2x the hamburgers, so c=2h.

Now we have our system.

h+c=279

c=2h

Use substitution to solve.

h+c=279

h+2h=279

3h=279

h = 93

93 hamburgers were sold on Monday.