We are planning a reception for our daughter. The hall that we are renting charges a $70 cleanup fee. In addition to the cleanup fee, they charge $28 per guest for food and drinks.
If we have $1,800.00 available, what is the maximum number of guest we can invite without going over our budget?
70 + 28n <= 1800
To determine the maximum number of guests you can invite within your budget, we'll need to subtract the fixed expenses (cleanup fee) from your total budget, and then divide the remaining amount by the cost per guest (food and drinks).
First, let's calculate the amount available for food and drinks:
Budget - Cleanup fee = Available amount for food and drinks
$1,800.00 - $70.00 = $1,730.00
Now, we need to find out how many guests this amount can cover:
Available amount for food and drinks ÷ Cost per guest = Maximum number of guests
$1,730.00 ÷ $28.00 = 61.79
Since you can't invite a fraction of a person, we need to round down to the nearest whole number. Thus, the maximum number of guests you can invite without exceeding your budget is 61.