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

Answer:

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:

$5h+6b=32$   ...... (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.

Answer 2

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