Question

Maria, Chau, and Greg served a total of 114 orders Monday at the school cafeteria. Chau served 9 more orders than Maria. Greg served 3 times as many orders as Maria. How many orders did they each serve?

Answer 1

Maria served 21 orders, Chau served 30 orders and Greg served 63 orders.

Step-by-step explanation:

Total number of orders = 114

Let the number of orders served by Maria =x

Chau served 9 more orders than Maria.

Therefore:

Number of orders served by Chau = x+9

Greg served 3 times as many orders as Maria.

Therefore:

Number of orders served by Greg = 3x

Next, we take the sum of their orders. This is:

`\begin{gathered} Maria+Chau+Greg=x+(x+9)+3x \\ \text{Total Orders =114} \\ \text{Therefore:} \\ x+(x+9)+3x=114 \\ 5x+9=114 \\ 5x=114-9 \\ 5x=105 \\ \text{Divide both sides by 5} \\ x=21 \end{gathered}`

Therefore:

• Number of orders served by Maria =x=21

,

• Number of orders served by Chau = x+9 =21+9=30

,

• Number of orders served by Greg = 3x =3 X 21 =63

Maria served 21 orders, Chau served 30 orders and Greg served 63 orders.