Question

A jeweler had a fixed amount of gold to make bracelets and necklaces. The

amount of gold in each bracelet is 6 grams and the amount of gold in each
necklace is 16 grams. The jeweler used 178 grams of gold and made 7 more
necklaces than bracelets. 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

6b+16n=178

n=b+7

Explanation:

Let b=the number of bracelets made

Let n=the number of necklaces made

​

System of Equations:

​

6b+16n=178

n=b+7

Answer 2

Let b = number of bracelets and n = number of necklaces

6b + 16n = 178 Weight of gold
n = b + 7 More necklaces than bracelets