Q:

Mary, Kevin, and Ahmad served a total of 126 orders Monday at the school cafeteria. Kevin served 6 more orders than Mary. Ahmad served 4 times as many orders as Kevin. How many orders did they each serve? 

Accepted Solution

A:
Answer:Mary: 16Kevin: 22Ahmed: 88Step-by-step explanation:This could be written as the following formula.Mary + Kevin + Ahmad = 126and we know thatMary + 6 = KevinKevin * 4 = Ahmedso Ahmed = (Mary + 6) * 4When filling this in you getMary + Mary + 6 + (Mary + 6) * 4 = 126Mary + Mary + 6 + 4Mary + 24 = 1266Mary + 30 = 1266Mary = 96Mary = 16So Mary served 16 orders.Using the earlier formulas you getKevin = Mary + 6 = 16 + 6 = 22Ahmed = Kevin * 4 = 22 * 4 = 88.Now we just need to double check it.Mary + Kevin + Ahmad = 16 + 22 + 88 = 126. Which matches what it should be.