SOLUTION: A box full of nails has a certain weight. If 3kgof nails are removed, the ratio of the old weight is 5:4. What is the original weight of the box?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A box full of nails has a certain weight. If 3kgof nails are removed, the ratio of the old weight is 5:4. What is the original weight of the box?      Log On


   



Question 998122: A box full of nails has a certain weight. If 3kgof nails are removed, the ratio of the old weight is 5:4. What is the original weight of the box?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the original weight x.
Thus the ratio of the old weight to the new weight is
x+%2F+%28x-3%29
This equals 5/4.
So
x/(x-3) = 5/4
so that
4x = 5(x-3)
4x = 5x - 15
-x = -15
x = 15