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James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $4,500 for their reception. If the reception hall charges a $90 cleanup fee plus $39 per​ person, find the greatest number of people that they may invite and still stay within their budget.

James and Bethany can invite at most

_______ people to the reception.

​(Round down to the nearest whole​ person.)

Verified Answer :

Mattchoo

To write an equation and simplify it, I'll start with this:

$4,500 = $90 + $39X Let X represent the amount of people attending the party.

Subtract 90 and both sides of the equation to make the $39X alone.

$4,410 = $39X

Divide $39 into both sides of the equation to isolate or bring X alone.

113.076923 = X

Now since we have to round down, we will do 113.
Answer: 113 people can attend the anniversary party.

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