a local hamburger shop sold a combined total of 508 hamburger and cheeseburgers on saturday ,they were 58 moore cheeseburgers sold than hamburgers. how many ham

Question

Pleaseeeeee

Answer 1

Since there are two unknowns, we need two equations.

 

H = # hamburgers sold

C = # cheeseburgers sold

 

H + C = 508

C = H + 58

 

H + (H + 58) = 508

2H + 58 = 508

2H = 450

H = 225

C = 225 + 58 = 283

 

So 225 hamburgers and 283 cheeseburgers were sold.

Answer 2

h + c = 508

c = h + 58

 

You can substitute one of two ways. Since c is already solved for, you can plug its equal value for c in the first equation.

 

h + (h + 58) = 508

h + h + 58 = 508

2h = 450

h = 225

 

c = 225 + 58

c = 283

 

Or, solve the first equation for c...

 

c = 508 - h

 

Now, since c equals 508 - h and h + 58, they equal each other.

 

508 - h = h + 58

 

Solve for h and plug your answer into the first equation and solve for c.