Let's analyze each statement based on the data provided in the pet store table:
- Ratios:
- Cats: 10
- Dogs: 8
- Birds: 12
- Ferrets: 4
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Statement 1: "The ratio of cats to dogs is greater than the ratio of birds to dogs."
- Ratio of cats to dogs = 10:8 = 5:4
- Ratio of birds to dogs = 12:8 = 3:2
- Comparing these ratios:
- 5/4 = 1.25
- 3/2 = 1.5
- Since 1.25 is less than 1.5, this statement is false.
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Statement 2: "The ratio of cats to birds is greater than the ratio of ferrets to birds."
- Ratio of cats to birds = 10:12 = 5:6
- Ratio of ferrets to birds = 4:12 = 1:3
- Comparing these ratios:
- 5/6 (approximately 0.83) and 1/3 (approximately 0.33)
- Since 5/6 is greater than 1/3, this statement is true.
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Statement 3: "The ratio of birds to ferrets is less than the ratio of dogs to ferrets."
- Ratio of birds to ferrets = 12:4 = 3:1
- Ratio of dogs to ferrets = 8:4 = 2:1
- Comparing these ratios:
- 3/1 = 3 and 2/1 = 2
- Since 3 is not less than 2, this statement is false.
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Statement 4: "The ratio of ferrets to cats is less than the ratio of dogs to cats."
- Ratio of ferrets to cats = 4:10 = 2:5
- Ratio of dogs to cats = 8:10 = 4:5
- Comparing these ratios:
- 2/5 (0.4) and 4/5 (0.8)
- Since 0.4 is less than 0.8, this statement is true.
Correct Statements:
- The ratio of cats to birds is greater than the ratio of ferrets to birds.
- The ratio of ferrets to cats is less than the ratio of dogs to cats.
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