Question

Kala, Deon, and Carlos served a total of 77 orders Monday at the school cafeteria. Kala served 7 fewer orders than Carlos. Deon served 2 times as many orders as Carlos. How many orders did they each serve?

Answer 1

Okay, here we have this:

Considering the provided information, we are going to identify how many orders each of our waiters served, therefore we obtain the following equation (where x represents the number of orders served by Carlos):

$(x-7)+2x+x=77$

Solving for x:

$\begin{gathered} x-7+2x+x=77 \\ 4x-7=77 \\ 4x=84 \\ \frac{4x}{4}=\frac{84}{4} \\ x=21 \end{gathered}$

Then, finally we have:

Orders served by Carlos=x=21

Orders served by Deon=2x=2(21)=42

Orders served by Kala=x-7=