Let
x-------> the numbers of blue beads
y-------> the numbers of white beads
we know that
[tex] x+y=30 [/tex] --------> equation [tex] 1 [/tex]
[tex] x=5y [/tex] --------> equation [tex] 2 [/tex]
Substitute equation [tex] 2 [/tex] in equation [tex] 1 [/tex]
[tex] (5y)+y=30\\ 6y=30\\ y=30/6\\ y=5 [/tex]
Find the value of x
[tex] x+y=30\\ x+5=30\\ x=30-5\\ x=25 [/tex]
therefore
the answer is
the numbers of blue beads is [tex] 25 [/tex]