Question

Hey guys if you can help that would be great!!

There are Eight rubies, ten emeralds, and a hundred pearls, which are in thy ear-ring, my beloved, were purchased by me for thee at an equal amount; and the sum of the prices of the three sort of gems was three less than half a hundred; tell me the price of each, auspicious woman.
What is the price of one pearl ???? , the price of one emerald ????? , and the the price of one ruby?????

Answer 1

so let
r = the price of one ruby
e = the price of one emerald
p = the price of one pearl

We know from the problem statement
8r = 10e =100p
r + e + p = (100/2) - 3 = 47

Start by re-arranging the first equation, to solve for two of the variables.
8r = 10e
e = (8/10)r

8r = 100p
p = (8/100)r

Substitue those values into the second equation and solve for r:
r + (8/10)r + (8/100)r = 47
r(1 + 8/10 + 8/100) = 47
r = 47/(47/25) = 25

from there, just plug the value of r into the two equations we already solved for:
e = (8/10)*25 = 20
p = (8/100)*25 = 2