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21 May, 09:14

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 8 grams and the amount of gold in each necklace is 24 grams. The jeweler made a total of 13 bracelets and necklaces using 168 grams of gold. Write a system of equations that could be used to determine the number of bracelets made and the number of necklaces made. Define the variables that you use to write the system.

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  1. 21 May, 11:46
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    Answer: The system of equations that could be used to determine the number of bracelets made and the number of necklaces made is

    x + y = 13

    8x + 24y = 168

    Step-by-step explanation:

    Let x represent the number of bracelets that the jeweler made.

    Let y represent the number of necklaces that the jeweler made.

    The jeweler made a total of 13 bracelets. This means that

    x + y = 13

    The amount of gold in each bracelet is 8 grams and the amount of gold in each necklace is 24 grams. The jeweler made a total of 13 bracelets and necklaces using 168 grams of gold. This means that

    8x + 24y = 168
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