Question

Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,000 for their reception. If the reception hall charges a $70 cleanup fee plus $35 per person, find the greatest number of people that they may invite and still stay within their budget. a) 50 people b) 57 people c) 58 people d) 59 people

Answer 1

To find the greatest number of people Mark and Heather Starr can invite and still stay within their budget, you can set up an equation using the given information.

Let x be the number of people they invite.

The cost of the reception hall can be calculated as follows:

Cost = Cleanup Fee + (Cost per person * Number of people)

Cost = $70 + ($35 * x)

Now, they have budgeted $2,000 for the reception, so you can set up the equation:

$2,000 = $70 + ($35 * x)

Subtract $70 from both sides of the equation:

$2,000 - $70 = $35 * x

$1,930 = $35 * x

Now, divide both sides by $35 to solve for x:

x = $1,930 / $35

x ≈ 55.14

Since you cannot invite a fraction of a person, you should round down to the nearest whole number because they can't invite a fraction of a person. Therefore, they can invite a maximum of 55 people.

The answer is not one of the provided options (a) 50 people, (b) 57 people, (c) 58 people, or (d) 59 people.

Explanation: