Somebody bright and young - please help a little old lady out with this! I have tried and tried but apparently I just can't do it. I was never good at maths, even at school. So here goes:
22 carat gold contains 22 parts of gold and 2 parts of other materials.
14 carat gold contains 14 parts of pure gold and 10 parts of other materials.
If we have 15 grams of 14 carat gold, how many grams of 22 carat gold would we get for it? (The stuff that counts is pure gold).
Could you also show how its calculated?
Thank you in advance!
2007-01-02 05:59:36 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
carat= 24 x (mass of pure gold/total mass)
14 carat= 58.333333% gold (14/24)
22 carat= 91.66666% gold (22/24)
15g of 14c gold= 15g x 58.33% = 8.7495g pure gold
2/24=.08333 (22 carat is 8.333% less gold than 24 carat)
1+ 0.08333= 1.08333 (add 8.333% inert metals to pure gold)
8.7495g (of pure gold) * 1.08333 = 9.4783g of 22 carat gold
(rounded off to 4 decimals)
2007-01-02 06:14:28 · answer #1 · answered by Jilm_Jones 3 · 0⤊ 1⤋
Easy - from another 50+ answerer:
15 grams @ 14 parts pure = 210 parts pure gold
210 parts pure gold/22 parts of gold per 22 carat gold = 9.545 grams of 22 carat gold
2007-01-02 06:04:05 · answer #2 · answered by Anonymous · 1⤊ 0⤋
assuming you could completely separate the parts:
15grams of 14carat gold contains
15 * 14/(14+10) = 15 * 7/12 = 8.75g of actual gold.
8.75g * (22+2)/22 = 9.545g of 22k gold could be created from 8.75g of gold.
2007-01-02 06:05:15 · answer #3 · answered by TankAnswer 4 · 1⤊ 0⤋
15 grams of 14k gold would be 15*14/24=8.75 grams of pure gold.
8.75*24/22=9.5 grams of 22k gold
2007-01-02 06:04:49 · answer #4 · answered by Barkley Hound 7 · 0⤊ 1⤋