Catalina Jewelers has 147 ounces of 14-carat gold in stock

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14-caratgold

#1

Catalina Jewelers has 147 ounces of 14-carat gold in stock.
How many custom necklaces can be manufactured if each requires 2 3/8 ounces of gold?
If gold is currently selling for $1,050 per ounce, how much is the gold in each necklace worth

Answer:

1st of all 61 neckalces with a few ounces left over
2nd of all theyre worth $2493.75

make 2 (3/8) into an improper fraction
2 (3/8)=19/8
we have 147 ounces and it take 19/8 ounces to make a necklace so we divide 147 by 19/8.
147/ 19/8= (147/1)*(8/19)=1176/19=61 (17/19) we can make 61 whole necklaces

1050 per ounce and 19/8 ounces in a necklace. we just multiply to find out how much gold in each necklace is worth.
1050*(19/8)=(1050/1)*(19/8)=19950/8=2493.75