Question

Yoko, Sam, and Ali served a total of 118 orders Monday at the school cafeteria. Ali served 4 times as many orders as Yoko. Sam served 10 more orders than Yoko. How many orders did they each serve?

Answer 1

Yoko served 18 orders, Sam served 28 orders, and Ali served 72 orders.

Step-by-step explanation:

Let's represent the number of orders Yoko served as x.

From the given information, we can determine that:

• Ali served 4 times as many orders as Yoko, so Ali served 4x orders.
• Sam served 10 more orders than Yoko, so Sam served x + 10 orders.

We are given that the total number of orders served by Yoko, Sam, and Ali is 118. Therefore, our equation is:

x + (x + 10) + 4x = 118

Combining like terms, we get:

6x + 10 = 118

Subtracting 10 from both sides, we get:

6x = 108

Dividing both sides by 6, we find that:

x = 18

Therefore, Yoko served 18 orders, Sam served 18 + 10 = 28 orders, and Ali served 4 * 18 = 72 orders.