SOLUTION: A local hamburger shop sold a combined total of 494 hamburgers and cheeseburgers on Friday. There were 56 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A local hamburger shop sold a combined total of 494 hamburgers and cheeseburgers on Friday. There were 56 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on      Log On


   



Question 273049: A local hamburger shop sold a combined total of 494 hamburgers and cheeseburgers on Friday. There were 56 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A local hamburger shop sold a combined total of 494 hamburgers and cheeseburgers on Friday. There were 56 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?
--------------------------
Equations:
h + c = 494
c = h-56
-----------------------------
Substitute for c and solve for "h":
h + h-56 = 494
2h = 550
h = 275 (# of hamburgers sold)
---------------
Since c = h-56, c = 219 (# of cheeseburgers sold)
=================================================
Cheers,
Stan H.