The Lake Charles echo. [volume] (Lake Charles, Parish of Calcasieu, La.) 1876-1898, 1883-11-17

tor I...l,e Ghnllrs Echo.

Editor Lake Charles Echo:
Will yuu please give space to The
following solutions of Prof. Fav's ex
ample, which solutions will show tht
absnrdity Of the proposition, and fur
Their that the example Is neither fully
nor fairly stated by Prof. Fay. Hi
statement is defective in this. list. RI,
fails to stale that the eggs were sold
in two separate and distinct lots, and
that each lot brought different
"price per egg" 81. His statement
excludes all implied conditions" and
hence no one can Justly suppose OF
infer the existence of any condition:
not expressed. Vide question.
BsG QUESTION.
Three farmers, A and c each carried 1
basket OF eggs to market, ntaiRina respect
lively 10, 80 and 80 eggs. They each sold then
eggs for the same price per egg, and each
received the came amount of money How
much did each receiver
The above question was submitted by State
supt, LAY, at a number of institutes, and thus
far only one person furnished a solution.
How many Of our readers will try to solve 1t !
PROF. FAY's SOLUTION
A sold eggs at l cent per egg cents
y Lold &c eggs at cent per sgg-2B cents.
c sold IS eggs at cent per eggs cents.
A sold 4 remaining eggs II cents per egg
60 cents,
c sold = remaining eggs at Il cents per egg
-92 cents,
Hence A received Axes eents-7O cents.
B received 26x44 cents-70 cents.
G received 42x22 eeDts-70 cent6.
CRITIcIsM--You will observe that in
Prot. FHy's solution as given above,
the eggs were sold in two lots. The
first lot brought one cent per egg, and
the second lot brought eleven cents
per egg, Query Did they sell their
eggs at the same price per egg or did
they sell their eggs i'll two lots, and at
different prices per egg in the separate
lots, viz: 1st lot at cent and I'd lot
at / cents per egg?
I'M sIsaLEToN's LIST SOLUTION.
A sold 3 eggs at ! cent per egg 3 cents.
sold % eggs at cent per eggs cents
{ sold ~ eggs at l cent per egg-47 cents
A sold remaining eggs at II cts.-77 cts
sold remaining eggs al II cts.-55 cts.
sold remaining eggs at II cts-33 cts
Hence A received Bat cts.-SO cts.
received 25x55 cts.-SO cts
{ received AXIS cts.-SO cts.
Nm. s. I'd SOLUTION.
A sold egg at l cent per egg cent
B sold % eggs at cent per eggs cents.
{ sold As eggs at l cent per eggs cents.
A sold 8 remaining eggs al Il cts. per egg
90 cts.
B sold remaining eggs at Il cts. per egg
G sold remaining eggs at Il cts. per egg
SIS cts.
Hence A received lx99 cts.-lOO cts.
B received 23X77 cts.-lOO cts.
{ received 45x55 cts.-lOO cts.
You will observe that in the last two
solutions neither the price nor the
number of eggs has been changed,
and vet, the farmers have realized
more money If Prof. Fay's solution
corresponds with the written statement
Of his question, SO do my solutions
and the results obtained 10y me should
not be different aud could not be diff
Tercnt from that obtained bv Prof. !
Fay. Hence, they did not each sell
their eggs for the same price per
egg" One of these three solutions is
wrong. They all cannot be right, Ms
hey produce different results
But the written abatement is incUm-
plctc and absurd, for thuy sold so
many eggs in the first lot at one cent |
Der egg and So many in the second lot |
1t II cents pei egg, and the number !
# eggs sold respectively, IN lot one,
md the price per egg must be known |
before the example is complete and
airIv stated, and unless those facts are !
made known you can never arrive at |
my estimate and definite amounts re
eivcd by the farmers. Yours truly,
NJ. NJ. SINGLETON.
National Educator please COPY.