SOLUTION: A jeweller has bars of 18 carat gold and 12 carat gold. how much of each must be melted toghter to obtain a bar of 16 carat gold, weighting 120 gm? Given pure gold is 24 carat.
Algebra.Com
Question 200485: A jeweller has bars of 18 carat gold and 12 carat gold. how much of each must be melted toghter to obtain a bar of 16 carat gold, weighting 120 gm? Given pure gold is 24 carat.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A jeweler has bars of 18 carat gold and 12 carat gold. how much of each must be
melted together to obtain a bar of 16 carat gold, weighing 120 gm?
Given pure gold is 24 carat.
:
18 ct: = .75
Let x = amt 75% gold required
then
12 ct: = .50
(120-x) = amt of 50% gold required
and
16 ct: =
:
The amt of pure gold equation:
.75x + .50(120-x) = (120)
:
.75x + 60 -.50x = 80
:
.75x - .50x = 80 - 60
:
.25x = 20
x =
x = 80 grms of 18 ct gold
and
120 - 80 = 40 gms of 12 ct gold
:
:
Check solution:
.75x + .50(120-x) =
.75(80) + .50(40) =
60 + 20 = 80
RELATED QUESTIONS
a jeweller has bars of 18 carat gold and 12 carat gold. how much of each must be melted... (answered by dkppathak)
A jewler has two bars of gold alloy in stock, one 12 carets and the other 18 carters (24... (answered by mananth)
You have 24 carat gold thread and 16 carat gold thread from which you need to mold a 10... (answered by richwmiller)
A jeweler has 2 bars of gold alloy in stock, one of 12 carats and the other of 18 carats... (answered by stanbon)
Eighteen-carat gold contains 18 parts by mass of gold to 6 parts of other metals.... (answered by ankor@dixie-net.com)
24-carat gold is pure gold.
18 carat gold is 3/4 gold.
20- carat gold is 5/8 gold.
the (answered by noahhamstra,abdullahkhawer)
a gold merchant has some 12 carat gold (12/24 pure gold) and some 22 caret gold ( 22/24... (answered by stanbon)
Eighteen carat gold contains 18 parts by mass of gold to 6 parts of other metals.... (answered by josgarithmetic)
Gold coin is usually 90% gold and 10% copper. How many ounces of pure gold (24K) must be... (answered by TimothyLamb)