Latoya Deshaun and Henry served a total of 90 orders Monday at the school cafeteria. Henry served 3 times as many orders as Deshaun. Latoya served 5 fewer orders than Deshaun. How many orders did they each serve?

Answer 1

Let's start by setting up equations for each person:

Henry = 3Deshaun

Latoya = Deshaun - 5

We also know that their total orders for the day was 90:

Henry + Deshaun + Latoya = 90

Now we can substitute the first two equations into the third equation:

3Deshaun + Deshaun + (Deshaun - 5) = 90

Combining like terms:

5Deshaun - 5 = 90

Adding 5 to both sides:

5Deshaun = 95

Dividing by 5:

Deshaun = 19

Now we can use the first two equations to find Henry's and Latoya's orders:

Henry = 3Deshaun = 3(19) = 57

Latoya = Deshaun - 5 = 19 - 5 = 14

Therefore, Deshaun served 19 orders, Henry served 57 orders, and Latoya served 14 orders on Monday.