Two-fifths of the caps in a box are red, one-fourth are blue, and the rest are green. What is the ratio of the green caps to the blue caps?
A. 5:7
B. 5:8
C. 7:8
D. 8:7
E. 7:5
Let there be y caps in the box. Then, there are 2y/5 red caps.
One-fourth of the caps are blue. So, there are y/4 blue caps.
Therefore, number of green caps = y - 2y/5 - y/4 = (20y - 8y - 5y)/20 = 7y/20.
Ratio of green caps to blue caps = (7/20) รท (1/4) = (7/20) x 4 = 7/5 or 7:5.