How many Burgers?

Question

On Monday, a local hamburger shop sold a combined total of
328
hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answer 1

Let's let "h" be the number of hamburgers they sold,

Let's let "c" be the number of cheeseburgers they sold.

They sold 328 all together.

 

h+c=328

.

The number of cheeseburgers sold was 3 times the number of hamburgers sold.

 

c=3h

 

Now substitute "3h" for "c" in the first equation.

 

Like this

 

h+c=328

h+3h=328

 

Now solve for h.

 

h+3h=328

4h=328 (combine like terms)

4h/4=328/4 (divide both sides by 4)

h=82

 

So there were 82 hamburgers sold on Monday.

 

 

Answer 2

Let h = the number of hamburgers sold and c = the number of cheeseburgers.  We have two unknowns, h and c, so we need to get two equations out of the words:

• a local hamburger shop sold a combined total of 328 hamburgers and cheeseburgers

 

         h + c = 328

 

• the number of cheeseburgers sold was three times the number of hamburgers sold

         c = 3h

 

Substitute 3h in place of c in the first equation:

 

       h + c = 328

       h + 3h = 328

       4h = 328

 

Solve for h.  Once you have h, c = 3h.