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The percentage of pure gold in 14-carat gold is about 58.3%. A 14-carat gold pendant weighs 7.6 grams, then there are ____ grams of pure gold in the pendant.

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Detailed Solution

The percentage of pure gold in 14-carat gold is about 58.3%. A 14-carat gold pendant weighs 7.6 grams, then there are 4.431 grams of pure gold in the pendant.
From the given data, we have,
The percentage of pure gold in 14-carat gold = 58.3%.
Weight of a 14-carat gold pendant = 7.6 grams.
Therefore we will get,

Percentage of pure gold = Weight of pure gold in the pendant Total weight of gold in the pendant × 100

⇒ 58.3 = Weight of pure gold in the pendant 7.6 × 100

⇒ Weight of pure gold in the pendant = 58.3 100 × 7.6 ⇒ Weight of pure gold in the pendant = 4.431 grams

Therefore, there are 4.431 grams of pure gold in the pendant.

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