Question

A local hamburger shop sold a combined total of

Answer 1

Call the number of hamburgers 'H' and the number of cheeseburgers 'C'.

We are told that:
$C+H=824$
and
$C=H+74$
by back substitution:
$H+74+H=824$ or $2H=750$ thus $H=375$ and so $C=449$

To check:
$C+H=824$
$449+375=824$
$824=824$  CHECKS