James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $3500 for the reception. If the reception hall charges a $50 cleanup fee plus $34 per person find the greatest number of people that they may invite and still have within their budget.

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Step-by-step explanation:

Create the equation:

$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500

Or

34p + 50 <= 3500

34p <= 3450

p <= 101.470588

We can have a part of a person attending the reception so we have to drop the remainder/decimal. Therefore the most amount of people that can attend the party and stay within budget is 101.