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.)

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.
113 people can attend the anniversary party.

C 101

Step-by-step explanation:

x² - 11x + 5 = 0

[-(-11) +- sqrt(11² - 4(5))]/2

[11 +- sqrt(101)]/2