The Cambria freeman. [volume] (Ebensburg, Pa.) 1867-1938, 1875-12-24

DECEMBER 20. 1876.

Ossy Psxxle Department.
DECEMBER 20. ls7a- |
DEAR FRrEMAN-In commenttnR on the solu- |
tion Of Mr. Besrcr's Ghs'.,sl fcnce problem by
type made It ss rods at IS cts. Again, in regard
to t A: D. H. problem: l said as 500 700 60 is
type made IT il 5-ie Troy. As to Hr. rro1ss OUTS
puzzle, l did not think the diaxonsls we're 70
count the same as the other lines, else I would
have had the figures go arranged. But 1t was
FL. P.'sanswer to Mr. scanlan's cheese prob.
lem zen, ~ correct. so WAS mine Either lbs. or
Il 3 lbs. is correct answer as can he proven.
Below please lind solutions to problems in
1<t. TO A. d. HIS trapezium-s79 9s rods is the
iengrh oil the fence; out the diagonal will not
cut the trapezium into two equal neds, either
in size or shape. My opinion is that 1t cannot
I'd. To FL. P.s cannon ball proelcm-e.ss Ibs
II he made a bali inches diameter Weigh % h 70 lbs
Troutwine certainly erred il he made / inch di-
ameter weigh S.s lbs:
es;, l44s sIss ssl 1851 l.lss and s2is Ises-3iss
AS regards w. b. c s problem. will not claim
the chrome. hut will make him a still better Of
fer-thus: When he furnishes a corrcct solution
to his own problem will send him a horse, sad
die and bride When he becomes posse essed OF
the power OF annihiatine matter he will be
able to gain the reward offered. 49,.
AN ARIrBMErICAL PROBLEM
quantity OF Cider f"r .ss 90 and sold % onefs%rtS
OF II and Is gallons over at gain OF 20 per cent.
the gain or the TWO sales was % 5-ll per cent:
of the whole investment. Had he sold the first
would have been 20 per ccut OF the whole in
vestmcnt: How many gallons did he buy, how
many gallons in caci, lot sold, and what were
the prices per gallonT LORETrO.
CKEssKy STATION, MERGED Co CAL
Dec Is 1878 I
DEAN FnrxxAx.-1 used to think that was
boss arithmetician In Cambria county, but since
left see the big guns have opened fire Mt fear
ful rate, and some of them. at least, evince that
they couldn't get a certificate from me. Give me
the Irish people for aril hmetic:. II you do not
once. pronounce him the hest mat hematican in
Cambria county. might say in the State of
Pennsylvania. l am good arthmetican, but an
incident occurred the other day which kind of
puzzled me, and IL your Cambria county big guns
can help me out. shall be under eternal oblisa-
tIons. Perhaps the Johnstown Institute can aid
me. can solve the problem by using the func-
arithmetic am dead beat, only 1 solved it my
self and carried out the fraction1 to fire decimal
pl1res.
our farm, ranch as we call 1t here. 1t is this:
a half long and eight rods wide. Three plOws
turn over twenty acres day consequently there
from the side in towards the centre. what is the
width that will be cut off each day7 Seventeen
answers required, carried out to five decimal
places-all done by arithmetic. 1 have the an
swers
beautiful diagram, which / venture to say Mr.
Patrick O'CouneN will pronounce correct. And
ifle says so, use talking. Yours, ROB Roy.
CHEST STRINGS, Dec. Is, 1878,
DEAR FREEMAH--As "I.OrettO' disputes the
correctness OF my answer to- the lever problem
l will try to elucidate little.
BY condition of the problem. lb. Troy bal
auces ounce Avordupos: consequently I3 39-
ls2 lbs. Troy will balance 13 29-1s5 ounces vOir-
dupos, and OF course the Ii 29-1.5 lbs. Troy
must by l. and the l3 % IFS ounces AvOirdupois
by ID 29-t75, To make the arms of the lever bal
ance; because the u - ls5 Avoirdupois-1 Id.
but Ii Is simply impossible for to print IT.
Ed As the ratio 500 1000 l34-l.5 or Id. Troy
IA l15 OF III. Avoirdupois, and 1875 of I6 1
ia ~ 1.5 ounces Avoirdupois, which balance
l3 29-l75 lbs. Troy.
Answer to +. j. P.'s problem-2996e e5o3,ssl-
.a5lOl35 lbs.
Answer to W. b. C.'s problem-The engineer
would make an everlasting trip.
Answer to 0cld problem 81 rods OF fence.
Answer to J. c. Scanian's problem-A e36.
l4E32l61: B &:6l 1895 2l63; 4ei2 l&9S 2l63
PROBLEM.
A body has fallen through 400 feet when an
other body begins to fall at point 200 feet be-
low it, Through what space will the latter body
fali before the former Overtakes it7
A. d. H,
NORMA SCHOOr, Indiana. Dec 20, 1873.
DEAR FREEMAN-I would like to cont tribute the
following problem to your Puzzle Department"
I think the answer would make some people open
their Prublem-SuuuoetUu he rph