Question

Bea's Catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students ( n) that could attend the French Club's banquet if they have budgeted $200 for catering.

Answer 1

To find out the number of students (n) that can attend with a $200 budget, the equation is $200 = $3n + $60. After solving, the answer is approximately 46.67, which we round down to 46 students as the maximum that can attend.

Step-by-step explanation:

To determine the number of students (n) that could attend the French Club's banquet with a budget of $200 for catering, we can set up an equation based on Bea's Catering charges. The catering service charges a flat clean-up fee of $60 plus $3 per person. The equation to represent the total cost is:

Total Cost = (Charge per Person) • n + (Clean-Up Fee)

Substituting the given values, we have:

$200 = $3n + $60

To solve for n, we first subtract the clean-up fee from both sides of the equation:

$200 - $60 = $3n

Which simplifies to:

$140 = $3n

Then, we divide both sides by $3 to find n:

$140 / $3 = n

n = 46×3, which is approximately 46.67. Since we cannot have a fraction of a person, we round down to get n = 46 students.