When the queen counted her jewels, she found that she had:
- Five pearls for each diamond
- Two opals and three rubies for each diamond
- Two emeralds for each opal
If she has three diamonds, how many jewels does she have altogether?
Answer (3)
I believe she would have 45 gems total
3 diamonds
5 pearls per diamond = 15 pearls
2 opals and 3 rubies per diamond= 6 opals and 9 rubies
2 emeralds per opal= 12 emeralds
3+15+6+9+12= 45 gems total
To calculate the total number of jewels the queen has, we need to analyze the given ratios and multiply them by the number of diamonds she has. There are three diamonds in question, so let's break down the jewel count for each type:
Pearls: For each diamond, the queen has five pearls. Since there are three diamonds, the total number of pearls is 5 pearls/diamond × 3 diamonds = 15 pearls.
Opals: She has two opals for each diamond, which gives us 2 opals/diamond × 3 diamonds = 6 opals.
Rubies: With three rubies for each diamond, the queen has 3 rubies/diamond × 3 diamonds = 9 rubies.
Emeralds: There are two emeralds for each opal. Therefore, the total emeralds are 2 emeralds/opal × 6 opals = 12 emeralds.
Adding all the jewels together gives us 15 pearls + 6 opals + 9 rubies + 12 emeralds + 3 diamonds = 45 jewels.
The queen has a total of 45 jewels, which comprises 15 pearls, 6 opals, 9 rubies, 12 emeralds, and 3 diamonds. These numbers are calculated based on her possession of 3 diamonds. Each type of jewel is determined by the specified ratios to the diamonds she has.
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