Alocal hamburger shop sold a combined total of 758 hamburgers and cheeseburgers on sunday. there were 58 more cheeseburgers sold then hamburgers. how many hamburgers were sold on sunday

Hi!

Let's write some equations to solve this.

h = hamburgers
c = cheeseburgers

h + c = 758
h + 58 = c

Let's put the value of c into the first equation. 
h + h + 58 = 758
Simplify
2h + 58 = 758
Subtract 58 from both sides
2h + 58 - 58 = 758 - 58
2h = 700
Divide by 2 on both sides
2h/2 = 700/2
h = 350

350 hamburgers were sold on Sunday

Let's check our answer by putting the value of h into both of our original equations.
350 + c = 758
350 + 58 = c
Solve
350 + 58 = 408
c = 408
350 + 408 = 758

Our answer is correct.

Hope this helps! :)