A local hamburger shop sold a combined total of 752 hamburgers and cheeseburgers on Wednesday. There were 52 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?

Question

A word problem on Aleks which is used for online math classes or for teachers to help students get familiar with what they are learning in class. I am having trouble understanding.

Answer 1

H = # hamburgers; C = # cheeseburgers

H + C = 752

C = H + 52

Substitute

H + H + 52= 752

2H = 700

H = 350 and C = 402