burger Shop sells burgers

Question

A local hamburger shop sold a combined total of 524 hamburgers and cheeseburgers on Friday. There were 74 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?

Answer 1

Let h be the number of hamburgers and c be the number of cheeseburgers.

h+c = 524

c = h+74

Substitute in the value of c into the first equation.

h + h+74 = 524

Simplifying

2h = 450

h = 450/2 = 225

225 hamburgers were sold on Friday.

Answer 2

H is hamburger, C is cheeseburger

H + C = 524

C = 74 + H

Substitute the second equation into the first equation - replace C with 74 + H

H + 74 + H = 524

2H + 74 = 524

Subtract 74 from both sides.

2H = 450

H = 225 hamburgers sold on Friday.