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victus00 [196]
2 years ago
14

A jewelry store has 311.75 ounces of 14-carat gold in stock.

Mathematics
1 answer:
WARRIOR [948]2 years ago
4 0

Answer:

\boxed{\text{(a) 86 necklaces; (b) \$2220}}

Step-by-step explanation:

(a) Number of necklaces

3⁵/₈ = 3.625

\text{No. of necklaces} = 311.75\text{ oz} \times \dfrac{\text{1 necklace}}{3.625\text{ oz}} = \textbf{ 86 necklaces}\\\\\text{You can make } \boxed{\textbf{86 necklaces}} \text{ from 311.75 oz of 14K gold}

(b) Value of gold in each necklace

There are 3.625 oz of 14K gold in each necklace. Pure gold is 24K.

\text{Mass of pure gold} = \text{3.625 oz} \times \dfrac{\text{14K}}{\text{24K}} = \text{2.1146 oz}

Pure 24K gold is worth $1050/oz.

\text{Value of pure gold} = \text{2.1146 oz} \times \dfrac{\text{\$1050}}{\text{1 oz}} = \textbf{\$2220}\\\\\text{The value of the gold in each necklace is } \boxed{\textbf{\$2220}}

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