Algebra word problem

Question

A local hamburger shop sold a combined total of 505 hamburgers and cheeseburgers on Saturday. There are 55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday

Answer 1

H = hamburgers

C = cheeseburgers

 

C + H = 505   I

C -  H = 55    II

 

 in fact you have a system and must  choose a method to solve it. The best method is "To  eliminate one of variable" in this case you can eliminate H by adding two equation I and II

C + H + C - H = 560

2C = 560

C = 280

by plug in C = 280 TO equation # I  you have:

280 + H = 505

-280         -280

H = 225

I hope it is useful and make sense 

Answer 2

 

 X + (X+55) = 505

 

2x + 55  = 505

 

2x = 450

 

x = 225

 

 

225 happy hamburgers

280 cheeseburgers