Understanding the Corona Test Data

The question asks us to find the ratio of the total number of positive corona cases in City 1 compared to the total number of positive corona cases in City 3, based on the provided table data from different hospitals.

First, let's organize the data presented in the table format. The table shows the number of positive cases for each city across four hospitals: HospitalA, HospitalB, HospitalC, and HospitalD. The numbers in brackets next to the hospital names (100, 50, 100, 50) represent the total tests conducted in each hospital, respectively. However, the question only asks for the total number of positive cases in each city, not related to the total tests conducted.

Let's extract the number of positive cases for City 1 and City 3 from the table:

Calculating Total Positive Cases for Each City

To find the total number of positive cases in City 1, we need to sum the cases from all four hospitals for City 1.

• Positive cases in City 1 from HospitalA = 30
• Positive cases in City 1 from HospitalB = 15
• Positive cases in City 1 from HospitalC = 35
• Positive cases in City 1 from HospitalD = 10

Total positive cases in City 1 $= 30 + 15 + 35 + 10 = 90$.

\(\text{Total cases in City 1} = 30 + 15 + 35 + 10 = 90\)

Next, we calculate the total number of positive cases in City 3 by summing the cases from all four hospitals for City 3.

• Positive cases in City 3 from HospitalA = 15
• Positive cases in City 3 from HospitalB = 5
• Positive cases in City 3 from HospitalC = 15
• Positive cases in City 3 from HospitalD = 5

Total positive cases in City 3 $= 15 + 5 + 15 + 5 = 40$.

\(\text{Total cases in City 3} = 15 + 5 + 15 + 5 = 40\)

Determining the Ratio of Positive Cases

The question asks for the ratio of positive cases in City 1 to City 3. This is expressed as:

Ratio = Total cases in City 1 : Total cases in City 3

Ratio = 90 : 40

To simplify the ratio, we find the greatest common divisor (GCD) of 90 and 40. The GCD of 90 and 40 is 10.

Divide both numbers in the ratio by 10:

\(\frac{90}{10} : \frac{40}{10}\)

\(9 : 4\)

So, the ratio of positive cases in City 1 and City 3 is 9 : 4.

Revision Table: Key Calculations

The simplified ratio is 9 : 4.

Additional Information: Data Interpretation and Ratios

This problem is a straightforward application of data interpretation and ratio calculation from a table. When dealing with such problems:

• Carefully read the question to understand exactly what is being asked (e.g., total cases, percentage, ratio, specific hospital data).
• Extract the relevant data points needed for the calculation. In this case, it was the total positive cases per city.
• Perform the required calculations (summation, finding ratio).
• Simplify the ratio to its lowest terms by dividing by the greatest common divisor.
• Ensure the ratio is presented in the requested order (City 1 to City 3).

Ratios are used to compare the relative sizes of two or more values. They are often simplified to their simplest form to make the comparison clearer.