Calculate total no . of case per category, given case rate per $100,000$ and total no. of cases

Question

I have the information on case rate per category

Eg - $$A \to 97 \text{ per } 100,000$$ $$B \to 169 \text{ per } 100,000$$ $$C \to 189 \text{ per } 100,000$$ $$D \to 234 \text{ per } 100,000$$ $$E \to 241 \text{ per } 100,000$$ $$F \to 420 \text{ per } 100,000$$

The total no. tests is $148,126$ and the total no. of confirmed cases is $10,490$

How should I calculate the total no. of cases per category?

Thank you

Answer 1

We have $$ 97 + 169 + 189 + 234 + 241 + 420=1350$$

So out of $10490$ cases, we expect that $$\frac{97}{1350}\cdot10490 = 753.726$$ cases belong to category A, and so on for the other categories.