Answer
Latoya served 14 orders.
Brian served 19 orders.
Hong served 57 orders.
Step-by-step explanation
Let the number of orders served by Latoya, Brian and Hong on Monday at the school cafeteria be L. B and H respectively.
- Latoya, Brian, and Hong served a total of 90 orders Monday at the school cafeteria.
L + B + H = 90 ....... equation 1
- Hong served 3 times as many orders as Brian.
H = 3B ....... equation 2
- Latoya served 5 fewer orders than Brian.
L = B - 5 ...... equation 3
Writing the equations together
L + B + H = 90 ....... equation 1
H = 3B ....... equation 2
L = B - 5 ...... equation 3
Substituting for L and H in equation 1
L + B + H = 90
(B - 5) + B + 3B = 90
B - 5 + 4B = 90
5B - 5 = 90
5B = 90 + 5
5B = 95
Divide both sides by 5
(5B/5) = (95/5)
B = 19 orders
Recall,
H = 3B = 3 (19) = 57 orders.
L = B - 5 = 19 - 5 = 14 orders.
Hence,
Latoya served 14 orders.
Brian served 19 orders.
Hong served 57 orders.
Hope this Helps!!!