Oscar and Julie Ashton are celebrating their 15th anniversary by having a reception at a local reception hall. They have a budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $35 per person, find the greatest number of people that may invite and still stay within thier budget. Oscar and Julie can invite at most __ People to the reception.

Oscar and Julie Ashton are celebrating their 15th anniversary by having a reception at a local reception hall They have a budgeted 2500 for their reception If t class=

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$2,500- $60 = $2,440 divided by $35= 69.714 which is rounded to 69 people that can attend the anniversary party

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.

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