Answer:
Oscar and Julie can invite at most 69 people to the reception.
Step-by-step explanation:
Oscar and Julie Ashton have a budgeted $2,500 for their reception.
The reception hall charges a $60 cleanup fee plus $35 per person.
Let the total number of persons be = p
Clean up is a one time charge.
So, the inequality forms:
[tex]60+35p\leq 2500[/tex]
Solving this we get;
[tex]35p\leq 2500-60[/tex]
[tex]35p\leq 2440[/tex]
[tex]p\leq 69.71[/tex]
Hence, the greatest number of people invited can be 69.
Check this by putting p = 69
[tex]60+35(69)\leq 2500[/tex]
=>[tex]60+2415\leq 2500[/tex]
[tex]2475\leq 2500[/tex]
Hence, 69 is the answer.