Michelle spent $32 on hot dogs and hamburgers. hot dogs were $5 and hamburgers $6. if she bought a total of 6 items, how many of each kind did she buy?

Michelle bought 4 hot dogs and 2 hamburgers.

Step-by-step explanation:

Let hot dogs be represented by h.

Let hamburgers be represented by b.

Hot dogs were $5 and hamburgers $6 and Michelle spent $32 on them.

Equation becomes:

  ...... (1)

Michelle bought a total of 6 items.

Equation becomes:    

 or  

Now substituting the value of h in (1)

=>

=>

Hence, b = 2

And as

So,

Hence, h = 4

Answer : Michelle bought 4 hot dogs and 2 hamburgers.