Question

Lisa, Chau, and Austin served a total of 124 orders Monday at the school cafeteria. Chau served 8 fewer orders than Lisa. Austin served 4 times as many orders

as Lisa. How many orders did they each serve?

Answer 1

• Lisa: 22
• Chau: 14
• Austin: 88

Explanation:

The given relations can be used to describe each of the numbers in terms of how many Lisa served. Those can then be related by the total served.

__

setup

Let L represent the number of orders Lisa served. Chau served 8 fewer, so (L -8). Austin served 4 times as many, so (4L). The total served was ...

L +(L -8) +4L = 124

solution

6L = 132 . . . . . . . . add 8, combine terms

L = 22 . . . . . . . . divide by 6

L -8 = 22 -8 = 14 . . . the number Chau served

4L = 4(22) = 88 . . . the number Austin served

The numbers each served were ...

• Lisa: 22
• Chau: 14
• Austin: 88