Kaitlyn tony and juan served a total of 71 orders Monday at the school cafeteria. Toney served 9 fewer orders than kaitlin. Juan served 2 times as many orders as kaitlin. How many orders did each serve

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Total of orders server at the school cafeteria by Kaitlin, Tony and Juan = 71

Tony served 9 orders fewer than Kaitlin

Juan served 2 times as many orders as Kaitlin

2. How many orders did each one serve?

For answering this question, we should prepare and write down our equation this way:

x = Number of orders served by Kaitlin

2x = Number of order served by Juan (2 times as many orders as Kaitlin)

x - 9 = Number of order served by Tony (9 orders fewer than Kaitlin)

x + 2x + x - 9 = 71

4x = 71 + 9

4x = 80

x = 80/4 = 20

x = 20 ⇒ 2x = 40 ⇒ x - 9 = 11

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.