TO THE RESOLUTION OF PROBLEMS« 
юг 
Ь г а 
0 
b 
--- v 2«— b z — 64 — the greater part; whence a — x 
z- 36 — the lesser part« 
PROBLEM LII. 
A grazier bought in as many sheep qs cost him 6ol. 
out of which he reserved 15, and sold the remainder for 541. 
end gained two shillings a head by them: the question is, 
how many sheep did he buy, and what did they cost him 
q head f 
Let the number of sheep be a?; then if 1200, the 
number of shillings which they all cost, be divided by a?, 
the quotient, will, it is evident, be the number 
of shillings which they cost him a piece; and so the 
number of shillings they were sold at per head will 
be i- 20 — -f 2, by the question; and therefore this, mul- 
$ 
. tiplied by a? —15, the number of sheep so sold, wall give 
1200 + 2x — - 80Q ? — 30, equal to the whole number 
x ■ 
qf shillings which they were all sold for; that is, 1170 
4- cj x _ 1 8 Q°_£ — io80: hence we have 1170a? 4- 2a?* 
18000 = 1080a?, 2а? г + 90a? — 18000, x z + 45a? zr 
9000, and a? = \/9506.25 — 22.5 — 75, the number 
1200 
of sheep; and consequently — 16 shillings, the 
price of each« 
problem Lille 
Two country-women, К and B, betwixt them brought 
100 f cJ eggs to market; they both received the same sum 
for their eggs, but A. (icho had the largest and best J says 
to В fad I brought as many eggs as you I should have re