Question

a local hamburger shop sold a combined total of 595 hamburgers and cheeseburgers on Wednesday there were 55 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Wednesday​

Answer 1

Hamburgers sold: 325 Cheeseburgers sold: 270

Explanation:

We can represent the amount of hamburgers and cheeseburgers with 2 equations.

h-55=c This equation represents the relation between hamburgers and cheeseburgers

h+c=595 This represents the total amount of hamburgers and cheeseburgers together.

We can use 1 equation to solve the other.

h+c=595 We can subtract h on both sides, which will show us what c equals.

c=595-h. Now that we know that, we can substitute that for c in the first equation, so we only have 1 variable to solve.

h-55=595-h

First, add h on both sides.

2h-55=595

Now we can add 55 on both sides to cancel out the -55.

2h=650

To isolate the h, divide both sides by 2.

h=325

Now that we know how much h equals, we can substitute that for h in the equation that told us how much c equals. c=595-325

595-325=270

c=270

Hope this helps!