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.

Question

Nataly Ingram

Mathematics

27 July, 15:32

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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Hamlet · Answer 1

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