Question

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?

Answer 1

4 hot dogs and 2 hamburgers. (4*5=20)+(2*6=12)

Answer 2

Michelle bought 4 hot dogs and 2 hamburgers.

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:

`5h+6b=32` ...... (1)

Michelle bought a total of 6 items.

Equation becomes:

`h+b=6` or
`h=6-b`

Now substituting the value of h in (1)

`5(6-b)+6b=32`

=>
`30-5b+6b=32`

=>
`30+b=32`

Hence, b = 2

And as
`h=6-b`

So,
`h=6-2`

Hence, h = 4

Answer : Michelle bought 4 hot dogs and 2 hamburgers.