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 made a total of 7 bracelets and necklaces using 72 grams of gold. Determine the number of bracelets made and the number of necklaces made.

he made 4 bracelets and 3 necklaces.

Step-by-step explanation:

Let x represent the number of bracelets made.

Let y represent number of necklaces made.

The jeweler made a total of 7 bracelets and necklaces. This means that

x + y = 7

The amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams. The total amount of gold used was 72 grams. This means that

6x + 16y = 72 - - - - - - - - - - - - 1

Substituting x = 7 - y into equation 1, it becomes

6(7 - y) + 16y = 72

42 - 6y + 16y = 72

- 6y + 16y = 72 - 42

10y = 30

y = 30/10

y = 3

x = 7 - y = 7 - 3

x = 4