Question

Mark and Heather celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $3,500 for the reception. If the reception hall charges a $60 cleanup fee + $32 per person, find the greatest number of people that they may invite and still stay within their budget.

Answer 1

To find the greatest number of people that Mark and Heather may invite and still stay within their budget, we use the given information to set up an equation and solve for the number of people. The maximum number of people they can invite is 107.

Step-by-step explanation:

To find the greatest number of people that Mark and Heather may invite and still stay within their budget, we need to set up an equation using the given information. Let x represent the number of people:

Budget = Cleanup Fee + (Per Person Fee x Number of People)

$3,500 = $60 + ($32 x x)

Now we can solve for x:

$3,500 - $60 = $32x

$3,440 = $32x

x = $3,440/$32

x = 107.5

Since the number of people should be a whole number, we can round down to the nearest whole number:

x = 107

Therefore, Mark and Heather can invite a maximum of 107 people to stay within their budget.