Question

Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,000 for their reception. if the reception hall charges a $90 clean-up fee plus $34 per person, find the greatest number of people that they may invite and still stay within their budget.

Answer 1

If p represents the number of people attending, then the charges will be

... 90 +34p

and Mark and Heather want that value to be less than or equal to 2000.

... 90 +34p ≤ 2000

... 34p ≤ 1910

... p ≤ 56.2

The greatest number of people attending can be 56.

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If Mark and Heather come without invitations, the greatest number they can invite is 54.