word problem

Question

solving a problem with 3 unknowns 

 

Diane, Bob, and Jose served a total of 75 orders Monday at the school cafeteria. Jose served 3 times as many orders as Bob. Diane served 5 fewer orders than Bob. How many orders did they each serve?

Answer 1

D+B+J=75       D= orders served by Diane,   B=orders served by Bob     J=orders served by Jose

J=3B

D=B-5

 

B-5    +   B     + 3B = 75

5B=80

B=16

J=3(16)=48

D = 16-5 = 11

 

16+48+11=75

75=75

Bob 16

Jose 48

Diane 11