A local hamburger shop sold a combined total of 614 hamburgers and cheeseburgers on Friday. There were 64 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?
Let x = hamburgers then x+64 = cheeseburgers ...... added together = 614
x + x + 64 = 614
2x = 550
x = hamburgers = 275
If we were trying to solve this problem, you have to make 2 equations. We have H and C to represent hamburgers and cheeseburgers, respectively. The problem states that the shop sold a combined total of 614 hamburger and cheeseburgers, the equation for this is:
H + C = 614
And the shop also states that there we 64 more cheeseburgers sold than hamburgers. This also means that it would take 64 more hamburgers to equal the number of cheeseburgers sold. So the equation for this is:
C = 64 + H
Now, we can substitute the second equation into the first equation. So what we get is:
2H + 64 = 614
2H = 550
This means that 275 hamburgers were sold on Friday.