let's assume
White beads = x
Red beads = y
Now according to question we have a set of equation
y= 6x +1 (Red beads = 1 more than six times white beads) ..... (1)
x+y =50 (Total number of beads) ..........(2)
substitute the value of "y" in equation (2)
x + (6x+1) = 50
7x +1 =50
7x=49
x=7
now putting the value of x in equation (2) we will get
y = 43 Red beads.
hence, naomi have 43 red beads.