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:
[tex]5h+6b=32[/tex] ...... (1)
Michelle bought a total of 6 items.
Equation becomes:
[tex]h+b=6[/tex] or [tex]h=6-b[/tex]
Now substituting the value of h in (1)
[tex]5(6-b)+6b=32[/tex]
=> [tex]30-5b+6b=32[/tex]
=> [tex]30+b=32[/tex]
Hence, b = 2
And as [tex]h=6-b[/tex]
So, [tex]h=6-2[/tex]
Hence, h = 4
Answer : Michelle bought 4 hot dogs and 2 hamburgers.
