Question

The senior class at Hartford High School is planning their prom. They’ve narrowed the location down to two choices. The Regal Hotel charges, C
𝐶
, $500 for the ballroom rental fee and $75 per student, s
𝑠
, for the meal. The Greenhill Country Club charges, C
𝐶
, $1,000 for the ballroom rental fee and $65 per student, s
𝑠
, for the meal. Create a pair of linear equations that represent this real-world problem.

Answer 1

Let s = number of students and C = total cost.

Regal Hotel: C = 500 + 75s
Greenhill Country Club: C = 1000 + 65s

(If you want the break-even point: 500 + 75s = 1000 + 65s → 10s = 500 → s = 50.)