Let's solve this logic puzzle step by step using the clues provided.
We have five girls:
Rose, Jenny, Sarah, Tina, Vicky
And five types of jewelry:
Diamond, Gold, Silver, Ruby, Opal
Each girl has a favorite piece of jewelry (one-to-one match).
---
Clues:
1.
Rose has jewelry that starts with the same letter as her first name.
→ Rose → R
So, her favorite jewelry must start with
R →
Ruby is the only one starting with R.
✔ So,
Rose → Ruby
2.
Sarah does not like gold or opals.
→ Sarah ≠ Gold, Sarah ≠ Opal
So Sarah’s favorite is one of: Diamond, Silver, Ruby
But Ruby is already taken by Rose → So Sarah ∈ {Diamond, Silver}
3.
Tina’s grandmother gave her diamond earrings for her birthday.
→ This implies
Tina → Diamond
4.
Jenny’s jewelry is either gold or silver.
→ Jenny ∈ {Gold, Silver}
---
Now let's fill in what we know.
Step 1: Assign known values
From clue 1:
Rose → Ruby
From clue 3:
Tina → Diamond
So now:
- Rose → Ruby
- Tina → Diamond
Remaining girls: Jenny, Sarah, Vicky
Remaining jewelry: Gold, Silver, Opal
Remaining options:
- Jenny → Gold or Silver (from clue 4)
- Sarah → Diamond, Silver, Ruby → but Diamond and Ruby are taken → so Sarah must be
Silver
- Because she can't have Gold or Opal (clue 2), and only Silver remains from allowed choices.
Wait — let's double-check:
Sarah cannot have Gold or Opal → So Sarah ∈ {Diamond, Silver, Ruby}
But Diamond → Tina
Ruby → Rose
So only
Silver left for Sarah.
✔ So
Sarah → Silver
Now:
- Rose → Ruby
- Tina → Diamond
- Sarah → Silver
Remaining girls: Jenny, Vicky
Remaining jewelry: Gold, Opal
Jenny → Gold or Silver (clue 4)
But Silver is taken → So Jenny →
Gold
Then Vicky →
Opal
---
Final Assignments:
| Girl | Jewelry |
|--------|---------|
| Rose | Ruby |
| Jenny | Gold |
| Sarah | Silver |
| Tina | Diamond |
| Vicky | Opal |
---
Let's verify all clues:
1.
Rose has jewelry starting with same letter as her name
→ Rose → Ruby → both start with R →
✔
2.
Sarah does not like gold or opals
→ Sarah → Silver → not gold or opal →
✔
3.
Tina’s grandmother gave her diamond earrings
→ Tina → Diamond →
✔
4.
Jenny’s jewelry is either gold or silver
→ Jenny → Gold →
✔
All clues satisfied!
---
Final Answer Table:
| | Diamond | Gold | Silver | Ruby | Opal |
|--------|---------|-------|--------|-------|-------|
| Rose | | | |
✔ | |
| Jenny | |
✔ | | | |
| Sarah | | |
✔ | | |
| Tina |
✔ | | | | |
| Vicky | | | | |
✔ |
✔ Puzzle solved!
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles for 3rd grade.