Problema Solution

The volume of box A is 50 percent greater than the volume of box C. The volume of box B is 25 percent greater than the volume of box C. Therefore, the volume of box A is what percent greater than the volume of box B?

Answer provided by our tutors

Let


a = the volume of box A


b = the volume of box B


c = the volume of box C


The volume of box A is 50 percent greater than the volume of box C:


a = 1.50c


The volume of box B is 25 percent greater than the volume of box C:


b = 1.25c


c = b/1.25


plug c = b/1.25 into a = 1.50c


a = 1.50*(b/1.25)


a = (1.50/1.25)b


a = 1.20b


a = b + 0.20b


The volume of box A is 20 percents greater than the volume of box B.