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.

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

shristiparmar1221 shristiparmar1221 · Answer 2 · 2021-12-14T12:42:03+01:00

This question is based on system of equations.The system of equations that is used to determine the number of bracelets made and the number of necklaces made is x + y = 13 and 8x + 24y = 168.

Given:

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.

According to the question,

Let x represent the number of bracelets and y represent the number of necklaces that the jeweler made.

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

⇒ x + y = 13

It is given that, the amount of gold in each bracelet is 8 grams and 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

Therefore, the system of equations that is used to determine the number of bracelets made and the number of necklaces made is x + y = 13 and 8x + 24y = 168.

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