SOLUTION: 10k gold ----------- ----42% 14k gold ----------- ----58% 18k gold ----------- ----75% 22k gold ----------- ----92% 24k gold ----------- ----100% How many grams of 22k gold

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 10k gold ----------- ----42% 14k gold ----------- ----58% 18k gold ----------- ----75% 22k gold ----------- ----92% 24k gold ----------- ----100% How many grams of 22k gold       Log On

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Question 199624: 10k gold ----------------42%
14k gold ----------------58%
18k gold ----------------75%
22k gold ----------------92%
24k gold ----------------100%
How many grams of 22k gold must be mixed with 5 grams of 14k gold to produce 18k gold?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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10k gold ----------------42%
14k gold ----------------58%
18k gold ----------------75%
22k gold ----------------92%
24k gold ----------------100%
How many grams of 22k gold must be mixed with 5 grams of 14k gold to produce 18k gold?
:
translate k to decimal equiv of per cent.
:
Let x = amt of 92% (22k) required
:
.92x + .58(5) = .75(x+5)
:
.92x + 2.9 = .75x + 3.75
:
.92x - .75x = 3.75 - 2.9
:
.17x = .85
x = .85%2F.17
x = 5 grams of 22k required