80 Arithmetic & Algebraic Problems
~ ce')l ~~
## ~~~rfj
```
eighteenth of the number of lumps
that each basin contains, we then find
that each basin holds twelve more
lumps than each of the cups. How
many lumps are there in each basin
before they are removed?
```
256. A RAIL PROBLEM
There is a garden railing similar to our design. In each division between two
uprights there is an equal number of ornamental rails, and a rail is divided in
halves and a portion stuck on each side of every upright, except that the up-
rights at the ends have not been given half rails. Idly counting the rails from
one end to the other, we found that there were 1,223 rails, counting two halves
as one rail. We also noticed that the number of those divisions was five more
than twice the number of whole rails in a division.
How many rails were there in each division?