The Frostee Sundae sells sundaes for $2.50 and banana splits for $4.00. On a hot summer day, the shop sold 9 more sundaes than banana splits and made $185. Let s represent the number of sundaes. Let b represent the number of banana splits.

Question

The Frostee Sundae sells sundaes for $2.50 and banana splits for $4.00. On a hot summer day, the shop sold 9 more sundaes than banana splits and made $185. Let s represent the number of sundaes. Let b represent the number of banana splits.

Write a system of equations to model this scenario.
(Note: You do NOT need to solve the system.)

Answer 1

s = b + 9 (the shop sold 9 more sundaes than banana splits)

2.5s + 4b = 185 (the total revenue from selling sundaes and banana splits was $185)

Answer 2

The system of equations to model this scenario is:

1. s = b + 9 (The shop sold 9 more sundaes than banana splits.)

2. 2.5s + 4b = 185 (The total revenue from selling sundaes and banana splits is $185.)