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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)
:
+
=
