Elizabeth has lots of jewelry. She has four times as many earrings as watches but half the number of. Necklaces as earrings. Elizabeth has the same number of necklaces as bracelets.

The complete question is:

Elizabeth has a lot of jewelry. She has four times as many earrings as watches but half the number of necklaces as earrings. Elizabeth has the same number of necklaces as bracelets. If Elizabeth has 117 pieces of jewelry, has many earrings does she have?

Answer:

Elizabeth has 52 pieces of earrings.

Step-by-step explanation:

- Let the number of Elizabeth's watches = p

- Earrings = 4p (Because she has 4 times as many earrings as watches)

- necklaces = (1/2) 4p = 2p (half the number of necklaces as earrings)

=> necklaces = 2p

- bracelets = 2p (same number of necklaces as bracelets.)

Since the total number of pieces of jewelry = 117, the addition of all the jewelry will be 117

That is, watches + earrings + necklaces + bracelets = 117

p + 4p + 2p + 2p = 117

9p = 117

p = 117/9 = 13

Therefore,

p = 13 (watches)

4p = 4*13 = 52 (earrings)

2p = 2*13 = 26 (necklaces)

and 26 bracelets.

Elizabeth has 52 pieces of earrings.