Question

A local hamburger shop sold a combined total of

824
hamburgers and cheeseburgers on Monday. There were
74
more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?

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