Question

Kaitlin, Joe, and Goran served a total of 123 orders Monday at the school cafeteria. Joe served 4 times as many orders as Goran. Goran served 9 feuer orders than Kaitlin. How many orders did they each serve? Number of orders Kaitlin served: Number of orders Joe served: Number of orders Goran served:

Answer 1

Joe= 4 times as Goran = 4g = 4 (k-9)

Goran served 9 fewer than Katilin so = k -9

`\begin{gathered} 123=4(k\text{ -9\rparen + \lparen k - }9)+k \\ \\ 123=4k\text{ - }36\text{ +}k\text{ -}9\text{ +k} \\ \\ 123=6k\text{ -45} \\ \\ 6k=123+45 \\ \\ 6k=168 \\ \\ k=(168)/(6)=28 \\ \\ \text{Kaitlyn has 28} \\ \\ Joe=\text{ 4\lparen k -9\rparen} \\ \text{= 4\lparen19\rparen = 76} \\ \\ Goran=k\text{ - 9 =} \\ \text{ 28-9=19} \end{gathered}`