Given data:
The total budget for the party is T=$47 .
The fixed cost for the party is F=$7.
The variable cost per guest is v=$1.
The expression for the total cost for the party is,
[tex]\begin{gathered} T=F+x(v) \\ 47=7+x(1) \\ 40=x \end{gathered}[/tex]Thus, the maximum numbers of guests that can come in the party