SOLUTION: A local hamburger shop sold a combined total of 502 hamburgers and cheeseburgers on Sunday. There were 52 more cheeseburgers sold than hamburgers. How many hamburgers were sold on

Algebra ->  Equations -> SOLUTION: A local hamburger shop sold a combined total of 502 hamburgers and cheeseburgers on Sunday. There were 52 more cheeseburgers sold than hamburgers. How many hamburgers were sold on       Log On


   



Question 197086: A local hamburger shop sold a combined total of 502 hamburgers and cheeseburgers on Sunday. There were 52 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
let hb be the number of hamburgers and cb be the number of cheeseburgers
hb%2Bcb=502 -------(1)
cb=hb%2B52 -------(2)
or
cb-hb=52 --------(3)
from (1), cb=502-hb ------(4)
substitute (4) in (3)
502-2hb=52
2hb=502-52=450
therefore, hb=450%2F2=225
number of hamburgers = 225

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