One hundred sixty guests attended a banquet. Three servers provided their beverages. The first server helped three times as many people as the second sever and the third server helped twice as many people as the first server. How many guests did each server help?



Answer :

Answer:

first server served = 48 guests

second server served = 16 guests

third server served = 96 guests

Step-by-step explanation:

total guests = 160

let second server served = x guests

as per given:

first server served = 3x guests

third server served = 2(3x) = 6x guests

i.e.

x + 3x + 6x = 160

10x = 160

x = 160/10 = 16

thus,

first server served = 3x = 3(16) = 48 guests

second server served = x = 16 guests

third server served = 6x = 6(16) = 96 guests