Question

Debra, Miguel, and Rafael served a total of 86 orders Monday at the school cafeteria. Rafael served 4 times as many orders as Miguel. Debra served 10 fewer

orders than Miguel. How many orders did they each serve?
Number of orders Debra served:
Number of orders Miguel served:
Number of orders Rafael'served:
0
X
Espar
T
D

Answer 1

x= the number of orders served by Miguel

Rafael served 4x more orders than Miguel = 4x

Debra served 10 fewer orders than Miguel. = x-10

total orders = 86

we write the equation

x+4x+x-10 = 86

6x-10=86

we solve:

6x-10=86

6x=86+10

6x=96

x=96/6=16

Miguel served 16 orders

Rafael served 16*4= 64 orders

Debra served 16-10 = 6 orders