Elsa, Deon, and Carlos served a total of 107 orders Monday at the school cafeteria. Deon served 5 more orders than Elsa. Carlos served 4 times as many orders as Elsa. How many orders did they each serve?

Elsa - 17 orders

Deon - 22 orders

Carlos - 68 orders

Step-by-step explanation:

You need to set variables and create system of equations first.

Elsa = e

Deon = d

Carlos = c

e+d+c=107

d=e+5

c=4e

Now you plug in the values into the equation x+y+z=116

e + (e+5) + (4e) = 107

6e+5=107

6e=102

e=17

You plug in the value of x into the other equations.

e = 17

d = 17+5=22

c=4 * (17) = 68

Rearrange so it corresponds with days ...

Elsa - 17 orders

Deon - 22 orders

Carlos - 68 orders