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A box contains only wood (w), red glass (r), and blue glass (b) marbles. The number of glass beads is 4 times the number of wood beads. If one bead is to be chosen at random, the probability of a red glass bead is 3 times the probability of a blue glass bead. There are 12 red glass beads in the box. How many total beads are in the box?
Given:
r+b=4w
r=3b
r=12
Calculations:
12=3b, so b=4
r+b=12+4=16
16=4w
w=4
Answer:
total=w+r+b=4+12+4=16
Answer choices:
A) 20
B) 45
C) 48
D) 60
E) 90
