1/4 of the beads in a box are red. 3/5 of the remainder are yellow and the rest are blue. if there are 48 blue beads, how many beads are there altogether?

Answer 1

b=48

1/b +1/r +1/y = 1

1/b + 1/4 +3/5 = 1

1/b = 1- 1/4-3/5

= 20/20 -5/20 -12/20

= (20-5-12)/20

= 3/20

1/b = 3/20

48 = 3/20 x Total = T

3T= 20x48

T= 20x48/3 = 20x16

=320 total beads

1/4 x 320= 80 red beads

3/5 x 320 = 192 yellow beads

48+80+192=320