SOLUTION: The capacity of a red box is 20% bigger than the capacity of a blue box. If the red box can hold 30 equal sized books, how many of the same books can the blue box hold? A.9 B.15 C.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The capacity of a red box is 20% bigger than the capacity of a blue box. If the red box can hold 30 equal sized books, how many of the same books can the blue box hold? A.9 B.15 C.      Log On


   



Question 1189585: The capacity of a red box is 20% bigger than the capacity of a blue box. If the red box can hold 30 equal sized books, how many of the same books can the blue box hold? A.9 B.15 C.21 D.25
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the capacity of the red box is 20% more than the capacity of the blue bos.
let x = the capacity of the blue box.
let 1.2 * x = the capacity of the red box.

if the red box holds 30 books, then 1.2 * x = 30.
solve for x to get x = 30 / 1.2 = 25.

the blue box can hold 25 books of the same size as the books in the red box.

blue box = 25 books.
red box = 30 books.
red box = 30/25 = 1.2 * capacity of blue box.