SOLUTION: A local hamburger shop sold a combined total of 496 hamburgers and cheeseburgers on Saturday. There were 54 fewer cheeseburgers sold than hamburgers. How many cheeseburgers were so

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A local hamburger shop sold a combined total of 496 hamburgers and cheeseburgers on Saturday. There were 54 fewer cheeseburgers sold than hamburgers. How many cheeseburgers were so      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 199437: A local hamburger shop sold a combined total of 496 hamburgers and cheeseburgers on Saturday. There were 54 fewer cheeseburgers sold than hamburgers. How many cheeseburgers were sold on Saturday?
I tried hamburgers + cheesburgers =496. Now I dont know how to progress? can you please help?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A local hamburger shop sold a combined total of 496 hamburgers and cheeseburgers
on Saturday. There were 54 fewer cheeseburgers sold than hamburgers.
How many cheeseburgers were sold on Saturday?
:
Write an equation for the 1st statement (like you did)
h + c = 496
:
Write another equation for the statement:
"There were 54 fewer cheeseburgers sold than hamburgers."
c = h - 54
;
Substitute (h-54) for c in the 1st equation
h + (h-54) = 496
2h = 496 + 54
h = 550%2F2
h = 275 hamburgers
then
275 - 54 = 221 cheeseburgers
:
:
See if that is right
275 + 221 = 496