a company is planning a reception at a banquet hall.\n- the banquet hall charges a fee of $400 to rent the…

a company is planning a reception at a banquet hall.\n- the banquet hall charges a fee of $400 to rent the hall and $12 per adult for dinner.\n- the company has a budget of $1,200 for the reception.\nwhat is the greatest number of adults that can attend the reception?\nenter your response here: \nonly 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.\nmixed numbers are entered by adding a space after the whole number.\nspaces are only allowed between whole numbers and fractions.

a company is planning a reception at a banquet hall.\n- the banquet hall charges a fee of $400 to rent the hall and $12 per adult for dinner.\n- the company has a budget of $1,200 for the reception.\nwhat is the greatest number of adults that can attend the reception?\nenter your response here: \nonly 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.\nmixed numbers are entered by adding a space after the whole number.\nspaces are only allowed between whole numbers and fractions.

Answer

Explanation:

Step1: Subtract hall - rent cost from budget

Let the number of adults be $x$. The total cost is the sum of the hall - rent cost and the cost per adult. First, subtract the hall - rent cost from the total budget. The amount left for adult dinners is $1200 - 400=800$ dollars.

Step2: Calculate number of adults

Since each adult dinner costs $12$ dollars, and the amount available for adult dinners is $800$ dollars, we can find the number of adults $x$ by dividing the available amount for adult dinners by the cost per adult. So $x=\frac{800}{12}=\frac{200}{3}\approx66.67$. Since we can't have a fraction of a person, the greatest number of whole - number of adults is $66$.

Answer:

$66$