The Cambria freeman. [volume] (Ebensburg, Pa.) 1867-1938, 1876-01-14
Our PuxSle Department.
CHEST spRIxos, Jan. Q 1915.

Our Puxsze Department.
CHEST sPRINos, Jan. O. 1876
ceme in YOUR last issue. 8 T r. storms c.%s .nes
first attention. In first problem the total loss
W @ere @ sSssr S. cash Is tea 81 sSd cash cash 81
alone was responsible for the tl0 because he
c took back his bad y note aud returned to b
his two ti bills lost - worth of~suxar and
cash In j. f. storm's second probiem the
sheep were divided to the first son, to the
second, and to the third.
F. p big cannon seems to he oubling
some Of the folks yet, though l am sure the
solids e arr are to eacs osher ss tn. Cubes of their
like dimensions" Cube the diafueter OF tho
diameter of the large ball ; then first cube is
to second cube, so 10 the weight OF nrst 70
OF The answer depends on the correctness OF the
Twill respectfully submit the following an
distances " hich both teams travelled in piowing
space piowed by one piow to the inside length
aud taking half. The difference of the mean dis
is the came every time they no round aud ss
they diminish the land 2rods every round. they
tanned times in SO rods, or the width OF the land.
which gives 40 rounds, and that multiplied by
one-haIf mile. which tho outside team goes
farther than the inside one.
10 II. r. NJ 8 prOO1en wOOtu say tnat II tho
arms of the lever are to each other as 3 to 4.
on the arm will be balanced by IL on the 3
arm also II on The longer arm will balance H
on the shorter.
Answer to bottle problem-As enc Gu. In. of
column now Of Water s,.tain-d by s;1rs incl inch Of
the cork is 1870 feet multiplied by Il inches. or
1850 cubic inches and 1850 times o46io gives 5e.A
lbs. 4voirdupois.
stick OF pine timber is 2 feet square at one
! end aud IS inches square ut the other. A piece
| sawed from one end weighs 30 'sZ. Some lead 10
/ water; the lead and piec, OF pine. fastened to-
gether, weigh 80 OF. in water What does said
stick OF heved timber ueigh' a. ID. IL.
JANUARY 10, 1875
| DEAR FREEMAN-The following are my so
| lutons to roine OF the problems In last weck' .
| TO J. F. Storms No. 1-si0. lost by the opera
1 TO his No. 2 TIE wise man borrowed one sheep
ICON It neight,or and put it along With the her
| eleven, thus bringing the nuInner up to Il.
! half of which is q, one fourth B, and one-sixth
2, making IL sheep and left which he returned
Rob Roy's' problems arc not nbsurdi,ies
now, but have no Ine to work them out at
! the meantime sends in the solutions.
As to the bottle under water viii pass It by,
| botlles, either under water above IL, or of
| the pressure necessary to drive in the cork or
| pull il out, and confess further. that don 1
! know what intiuence the contents of bottles
| would have q" the human mind or body; there
! to those more practiceo in the bot, ling busi-
!
The answer to fitting problem OF T. F. ~ ;s
| IL lbs. either way. 1t is also a solutou To Mr..
''c>Caulan'S famous cheese lTGiJi>yn,'
weighed on a beam the arms Of which were OF
different lengths from the fulcrum. Bur IL
weighed in scales (and the problem said sea es,,
bearing such raise scales then tn. cheese would
: weigh Ell This can be proven aud demon
! stratcd. When I said it weighed 0 lbs. kne ~
it to bo wrong. but il was for the purpose OF st
tordiHX the propoundcr an opportunity 20 con-
ID. al Us of f.l
one sceiGht,' and agree with him !; but the one
IN aues,,oh c"u'n q; nave ei'nr OF two weights
| chine On which u WAS weighed. And thi-is much
easier proE-n than It is for bin to divide his
| line from one aug!e 10 another.
Then let me reina.k. that in my solution to
take In the calculation, which caused the dis
crepancy between mine and the so!u,fonlgivcn
| whicp is correct, oab'4 feet. Two OF tbs soiu .
tious To Browns puzzle given by Storm seems
not to be strictly in accordance with the re.
Qurerncnts, some OF the columns when added
up making only ~. LonETTO.
GAILTTzIS. Jan. TO- 1875.
DEAR FREENAN--l stated in my last rpistle tha
would not th:rs afier tax the email amount OF
columns. However, f. +. NJ. having requested
E. M Is nwaPe sPssf that bears tn. same ratio
t"s hat does TO ie cnnseq fsntly u:ce versa.
hti pfssra s error 10 - G r. enScss prGnen,
| mistaken the weight WAS l2f lbs. i had only
/ gwen II phssfnx notice. l now say the true
Answ.r 10 J. F. Storms pros'em.-,s.. A re.
rmd IN %sy anS smf - ss Of 1 ssr
| Consequently A cleared 4l0 on his counterfeit,
that con.,itions:B lost IS in cash II s3 worth oi
! sugar, while c lost III in crsh and OIL worth OF
s9,ac II h orse he Se share. .n nsssy had &c
third and one-ninth, without dividing a horse,
and letting each saEe his share so as mot a
take his horse They were all satisfied. and tht
likewise by putting in an extra sheep. If he
prefers an arithmeticai solution. he can have 1;
eieven-twcIrths, and taking the proportion ac
cordinz to condition OF the Question.
'-Lorctto' answered the cannon ball question
correctly, according to first proposition. said
tas given Ivy Brooks suppose n ball inches
be 455ob lbs rs answered by .Loretto" The
actual weight OF a solid inch OF cast metal al
not appear in type as I intended. Then the
true weight of ball was 193. Is Ito lbs.
wa. no aiM little 80 surprised to na 1ha twioe til.
whole population Of Pennsylvania could stand
ing each man two square feet and smpposns
the population to be 3ooo 900, besides having
stand upon. But it did not make me open my
eyes: | bud them open N. r. II you will take
the trouble TO insert this I promise not tc
bother you again.
Yours, respectfully, Ftp.
JANUARY 8. 1875.
FRIEND McPIKE-I answer Mr.. Storms prob.
lem thus: The wise man put one of his owr
sheep in with the Ill. which made IL; then tn,
first hoy got one half, which wac g, the second
boy got ono fourth. which was 3. and the third
got the one-sixth, which as2-making ii In all
Then the wise drove his own sheep home
again.
! send you another.
rUOBLEN
| bought rum mt FL p per ga lion. and by acct
dent much leaked out that 1 am content e
( lose 20 per cent. How much must l sell il at pei
gallon?
MORE.
The wheels, Oe feet in Crcun-
, ference and that OF a whcelbarrow % inches
| How many more times will the latter turn
! round than the former i'm going around the
! earth? How many more times in ding through
! the earth, allowing the iiametcrs to be one
third OF the circumference?
Yours, Sc, J, G. SCASLAN.
| CHEST SPRINGS, Jan. 10, 1875.
DEAR FRERNAN.-My deceitful balance prob
] lem of week sent for tte purDnso OF