Final answer:
To find the number of striped cats given the ratio of 2 to 5 with 12 spotted cats, we set up a proportion and solve it, revealing that there are 30 striped cats.
Step-by-step explanation:
The question is asking to find out the number of striped cats based on the given ratio of spotted cats to striped cats, which is 2 to 5, and the actual count of spotted cats, which is 12. To solve this, we set up the proportion using the ratio provided:
Spotted cats : Striped cats = 2 : 5
Next, we substitute the given number of spotted cats into the proportion:
2/5 = 12/number of striped cats
To find the number of striped cats, we cross-multiply and solve for the number of striped cats:
2 * number of striped cats = 5 * 12
Number of striped cats = (5 * 12) / 2
Number of striped cats = 60 / 2
Number of striped cats = 30
So, there are 30 striped cats.