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