284 Answerschain loses a length equal to twice the thickness of the iron. The inner width
must have been 2YJ in. This, multiplied by 9 and added to 1 makes 22 in.,
and multiplied by 15 and added to 1 makes 36 in. The two pieces of chain,
therefore, contained 9 and 15 links respectively.- LOCATING THE COINS
If his answer be "even," then the dime is in the right pocket and the nickel
in the left; if it be "odd," then the dime is in the left pocket and the nickel in
the right.- THE THREE SUGAR BASINS
The number in each basin was originally 36 lumps, and after each cup had
received 2 (VI 8) every cup would then hold 6, and every basin IS-a differ-
ence of 12.- A RAIL PROBLEM
There must have been 51 divisions and 23 whole rails in every division.
There were thus 1,173 whole rails, and 50 pairs of halves, making together
1,223 rails as stated.
- MAKING A PENTAGON
Let AB be the required 1 inch in tagon can be marked off-l inch in
length. Make BC perpendicular to AB length.
and equal to half AB. Draw AC, D
which produce until CD equals CB. A
Then join BD, and BD is the radius
of the circumscribing circle. If you
draw the circle the sides of the pen- A B
- WITH COMPASSES ONLY
In order to mark off the four corners of a square, using the compasses only,
first describe a circle, as in the diagram. Then, with the compasses open at the