SOLUTION: Eighteen-carat gold contains 18 parts by mass of gold to 6 parts of other metals. Fourteen-carat gold contains 14 parts gold to 10 parts of other metals. How amny kilograms of eigh
Algebra.Com
Question 163229: Eighteen-carat gold contains 18 parts by mass of gold to 6 parts of other metals. Fourteen-carat gold contains 14 parts gold to 10 parts of other metals. How amny kilograms of eighteen-carat gold should be mixed with fourteen-carat gold to obtain 60 kg of an alloy containing 17 parts gold and 7 parts of other metals?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Eighteen-carat gold contains 18 parts by mass of gold to 6 parts of other metals.
Fourteen-carat gold contains 14 parts gold to 10 parts of other metals.
:
How many kilograms of eighteen-carat gold should be mixed with fourteen-carat
gold to obtain 60 kg of an alloy containing 17 parts gold and 7 parts of other metals?
:
Let x = no. of kilograms of 18ct alloy required:
Then
(60-x) = no. of kilograms of 14ct alloy required
:
x + (60-x) = (60)
Multiply equation by 24 and you have:
18x + 14(60-x) = 17(60)
;
18x + 840 - 14x = 1020
:
18x - 14x = 1020 - 840
:
4x = 180
x =
x = 45 kilo of 18ct alloy required
:
60-45 = 15 kilo of 14ct
:
Check solution in original equation
(45) + (15) = (60)
:
+ =
RELATED QUESTIONS
Eighteen carat gold contains 18 parts by mass of gold to 6 parts of other metals.... (answered by josgarithmetic)
eighteen karat gold contains 18 parts gold and 6 parts other metals. amy's new ring... (answered by ptaylor)
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 jewler has two bars of gold alloy in stock, one 12 carets and the other 18 carters (24... (answered by mananth)
22 carat gold is mixed with 18 carat gold in the ratio 1:2 to get x carat gold . then the (answered by Alan3354)
A jeweller has bars of 18 carat gold and 12 carat gold. how much of each must be melted... (answered by ankor@dixie-net.com)
a jeweller has bars of 18 carat gold and 12 carat gold. how much of each must be melted... (answered by dkppathak)
You have 24 carat gold thread and 16 carat gold thread from which you need to mold a 10... (answered by richwmiller)
Gold coin is usually 90% gold and 10% copper. How many ounces of pure gold (24K) must be... (answered by TimothyLamb)