Question

A local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers on Wednesday. There were 72 fewer cheeseburgers sold than hamburgers.

How many hamburgers were sold on Wednesday?

Answer 1

x+y=603

y=x+53

Explanation:

Substitute what y equals in the second equation for y in the first equation:

x+(x+53)=603

2x+53=603

-53 -53

2x=550

2 2

x=275 hamburgers

To solve for the number of cheeseburgers, substitute 275 for x in either equation.

y=x+53

y=275+53

y=328 cheeseburgers

To double check your work, make sure that 275+328=603 and that 328=275+53. Since both are true, you have solved for the number of hamburgers (275) and cheeseburgers (328).