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Question
An animal shelter has cats and dogs available for adoption in a ratio of 3:5. If there are 25 dogs available for adoption, how many cats are available? Use a tape diagram to help organize your thinking.(1 point)
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To solve this problem, we can set up a proportion using the given ratio.
The ratio of cats to dogs available for adoption is 3:5.
Let's represent the number of cats as "x".
We can set up the proportion:
3/5 = x/25
Cross-multiplying, we get:
5x = 3 * 25
5x = 75
Dividing both sides by 5, we find:
x = 75/5
x = 15
Therefore, there are 15 cats available for adoption.
To solve this problem using a tape diagram, we first need to determine the total number of parts in the ratio. In this case, the ratio of cats to dogs is 3:5, so there are 3 + 5 = 8 parts in total.
Next, we need to determine the value of each part. Since there are 25 dogs available for adoption, we can divide the total number of dogs by the number of parts to find the value of each part. So, 25 dogs ÷ 5 parts = 5 dogs per part.
Now we can use the value of each part to find the number of cats. Since there are 3 parts for cats in the ratio, we can multiply the value of each part (5 dogs) by 3 to find the number of cats. So, 5 dogs per part × 3 parts = 15 cats.
Therefore, there are 15 cats available for adoption.