Question

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 16 grams. The jeweler used 130 grams of gold and made 5 more bracelets than necklaces. 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.

Answer 1

The jeweler made a system of equations to determine the number of bracelets and necklaces made.

Step-by-step explanation:

We can define two variables to represent the number of bracelets and necklaces made:

Let B = number of bracelets

Let N = number of necklaces

Then we can write the following system of equations:

Equation 1: 5B + 16N = 130 (the total amount of gold used is 130 grams)

Equation 2: B = N + 5 (there are 5 more bracelets than necklaces)

These equations can be used to determine the number of bracelets and necklaces made.