A local pet store has 7 birds, 5 fish, 10 dogs, and 8 cats. Which of the following relationships describes the ratio 1:6?
The ratio 1:6 means that for every 1 of something, there are 6 of another thing. To find which relationship describes this ratio, we need to compare the quantities of two different categories.
For example, we can compare the number of birds to the number of dogs:
- Birds: 7
- Dogs: 10
To see if this relationship fits the ratio 1:6, we divide the larger quantity (dogs) by the smaller quantity (birds):
10 ÷ 7 ≈ 1.43
This is not equal to 6, so the ratio 1:6 is not describing the relationship between birds and dogs.
We can continue this process of comparing different categories until we find one that fits the ratio. Here are a few more attempts:
- Birds: 7
- Cats: 8
8 ÷ 7 ≈ 1.14
- Fish: 5
- Dogs: 10
10 ÷ 5 = 2
- Dogs: 10
- Cats: 8
10 ÷ 8 = 1.25
None of these relationships fit the ratio 1:6 exactly. Therefore, there is no category in this pet store that has a 1:6 ratio with another category.
How about the ratio of fish to the total ??
= 5 : 30
= 1 : 6
Yes, that's correct! The ratio of fish to the total number of animals in the pet store is indeed 1:6.
To find the relationship that describes the ratio 1:6, we need to compare the numbers in the ratio to the numbers of birds, fish, dogs, and cats in the pet store.
The ratio 1:6 means that for every 1 of something, there are 6 of another thing.
Let's check each option to see if it matches the given ratio:
Option 1: Birds:Fish
In this option, we have 7 birds and 5 fish. The ratio of birds to fish is 7:5, which is not equal to 1:6.
Option 2: Fish:Dogs
In this option, we have 5 fish and 10 dogs. The ratio of fish to dogs is 5:10. Simplifying it, we get 1:2, which is not equal to 1:6.
Option 3: Dogs:Cats
In this option, we have 10 dogs and 8 cats. The ratio of dogs to cats is 10:8. Simplifying it, we get 5:4, which is not equal to 1:6.
Option 4: Cats:Birds
In this option, we have 8 cats and 7 birds. The ratio of cats to birds is 8:7, which is not equal to 1:6.
Based on the comparisons above, none of the given options match the ratio 1:6 with the numbers of birds, fish, dogs, and cats in the pet store.