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

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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)   (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 =
h = 275 hamburgers
then
275 - 54 = 221 cheeseburgers
:
:
See if that is right
275 + 221 = 496

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