Asked by jam

steve and michelle neely are celebrating their 30th anniversary by having a reception at a local reception hall. They have budgeted $4,500 for their reception. If the reception hall charges a $80 cleanup fee plus $30 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answered by GPT 3.5
Let's denote the number of people they can invite as "x".
The total cost of the reception hall is given by the equation:
80 + 30x = 4500.

To find the greatest number of people they can invite and still stay within their budget, we need to solve for x in the equation above.

Subtracting 80 from both sides of the equation:

30x = 4500 - 80,
30x = 4420.

Dividing both sides by 30:

x = 4420/30,
x ≈ 147.33.

Since it is not possible to invite a fraction of a person, the greatest whole number of people they can invite is 147.

Therefore, they can invite a maximum of 147 guests and still stay within their budget.
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