Answer:
Greatest number of people they may invite within their budgeted [tex]x=131[/tex]
Explanation:
Given,
[tex]Budget=\$ 4000[/tex]
Clean up charges[tex]=\$ 50[/tex]
Per person charges[tex]=\$ 30[/tex]
Solution
Let the number of people they may invite is [tex]x[/tex]
[tex]\$ 30\times x+\$ 50=\$ 4000[/tex]
[tex]\$ 30\times x=\$ 4000-\$ 50[/tex]
[tex]30\times x=3950[/tex]
[tex]x=3950/30[/tex]
[tex]x=131.666[/tex]
Maximum number of people they may invite within their budgeted [tex]x=131[/tex]