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.

s = b + 9

2.5s + 4b = 185