Problema Solution
Blaine has three times as many badges as Surge does, and Surge has half as many badges as Erika does. If Blaine, Surge, and Erika have a combined total of 54 badges, how many badges does Erika have?
Answer provided by our tutors
let
x = the number of badges that Blaine has
y = the number of badges that Surge has
z = the number of badges that Erika has
Blaine has three times as many badges as Surge does:
x = 3y
Surge has half as many badges as Erika does:
y = (1/2)z
Blaine, Surge, and Erika have a combined total of 54 badges:
x + y + z = 54
by solving the system of equations:
x = 3y
y = (1/2)z
x + y + z = 54
we find:
x = 27 badges
y = 9 badges
z = 18 badges
click here to see the step by step solution of the system of equation:
Blaine has 27 badges.
Surge has 9 badges.
Erika has 18 badges.