Subjects algebra

Gold Carat

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Gold Carat


1. The problem states that a gold necklace chain has 37.5 grams of gold and pure gold is 24 carats. 2. We need to find the carat value of this necklace chain given the amount of gold it has. 3. Carat is a measure of purity, with 24 carats representing pure gold. 4. We use the proportion $\frac{\text{actual gold weight}}{\text{total weight}} \times 24$ to find the carat value of gold. 5. Since the necklace has 37.5 grams of pure gold, if the total weight is unknown, we assume it is the pure gold amount for carat calculation, so the necklace is 24 carats gold. 6. If the total weight was different (not provided), the carat would be less, but with only the 37.5 grams and pure gold info, the carat is 24. Answer: The necklace chain has 24 carats of gold.