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mrs_skeptik [129]
3 years ago
13

Plssssssssssssssssssssssssss help 10 points

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

37

Step-by-step explanation:

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Answer:

83.3 g of 18-karat gold and 166.7 g of 12-karat gold

Step-by-step explanation:

24-karat gold is pure gold. The purity is 24/24 = 1 = 100% gold.

12-karat gold is 50% gold. The purity is 12/24 = 0.5 = 50% gold.

14-karat gold is 14/24 pure, so in 250 g of 14-karat gold the amount of pure gold is

14/24 * 250 g

The total weight of the bracelet is 250 g.

Let x = the weight of 18-karat gold.

Then the weight of 14-karat gold needed is 250 - x.

weight of pure gold from 14-karat gold + weight of pure gold from 18-karat gold = weight of pure gold in 14-karat gold bracelet

0.5 * (250 - x) + 0.75x = 14/24 * 250

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x = 250/3

x = 83.3

250 - x = 250 - 83.3 = 166.7

Answer: 83.3 g of 18-karat gold and 166.7 g of 12-karat gold

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