Question

Emery makes 8 necklaces and 3 bracelets, using a total of 172 beads.

Then she makes 1 more necklace and 5 more bracelets, using 77 beads.


Solve the system to find how many beads Emery uses in each necklace and bracelet.

Answer 1

Explanation:

8n + 3b = 172

n + 5b = 77

8n + 3b = 172

-8n - 40b = -616

-37b = -444

b = 12 beads for each bracelet

n + 5(12) = 77

n + 60 = 77

n = 17 beads for each necklace

Answer 2

17 beads in one necklace

12 beads in one bracelet

Explanation: