A local hamburger shop sold a combined total of 376 hamburger and cheeseburgers on Sunday. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

82

Step-by-step explanation:

let X = the number of hamburgers sold

let Y = the number of cheeseburgers sold  a combined total of 328 were sold

so: X + Y = 328

cheeseburgers = 3 times the number of hamburgers sold  

so: Y = 3X

substitute 3X into the equation for Y

X + 3X = 328

4X = 328

divide both sides by 4 to get the variable X by itself

X = 82

so: 82 hamburgers were sold Friday

There were 225 hamburgers sold on Sunday.

Step-by-step explanation:

2h - 74 = 376

h = hamburgers

2h - 74 + 74 = 376 + 74

2h = 450

2h/2 = 450/2

h = 225

Check.

hamburgers + cheeseburgers = total number of burgers

225 + (225 - 74)

225 + 151 = 376