Question

A local hamburger shop sold a combined total805 of hamburgers and cheeseburgers on Wednesday. There were55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?

Answer 1

375 hamburgers

Explanation:

Let c stand for cheeseburgers and h stand for hamburgers.

We can write a system of equations that looks like this:

`805=c+h`

`h+55=c`

Because we are given what c equals with an equation, we can plug in the values for c into the first equation:

`805=c+h\\805=(h+55)+h`

simplify

`805=2h+55`

continue to solve for h (hamburgers) by subtracting 55 from both sides

`750=2h`

divide both sides by 2

`375=h`

So, 375 hamburgers were sold on Wednesday.

Hope this helps! :)

Answer 2

x = the number of burgers sold

x+55= the number of cheeseburgers sold

he sold 805 hamburgers+chessebruggers combined

x+x+55=805

2x= 805-55

2x=750

x= 375

he sold 375 hamburgers