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In-s [12.5K]
2 years ago
13

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?
Mathematics
1 answer:
dem82 [27]2 years ago
3 0

Answer:

  • Lisa: 22
  • Chau: 14
  • Austin: 88

Step-by-step 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.

__

<h3>setup</h3>

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

<h3>solution</h3>

  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

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