Understanding the Criminal Cases Data

The question asks us to calculate a ratio based on the number of solved criminal cases from the provided table. The table shows the number of Registered and Pending cases for three crimes: Larceny, Arson, and Carjacking, over several years.

To find the number of solved cases for a specific crime in a given year, we need to subtract the number of Pending cases from the number of Registered cases for that crime in that year. The formula is:

Solved Cases = Registered Cases - Pending Cases

Analyzing the Table Data

Let's first look at the table provided:

All numbers in the table are in Thousands.

Calculating Solved Larceny Cases in 2017

We need to find the number of solved Larceny cases in the year 2017. From the table, for Larceny in 2017:

• Registered Cases = 35 (Thousands)
• Pending Cases = 20 (Thousands)

Using the formula:

Solved Larceny Cases in 2017 = Registered Larceny Cases in 2017 - Pending Larceny Cases in 2017

Solved Larceny Cases in 2017 = \(35 - 20 = 15\) (Thousands)

Calculating Solved Carjacking Cases in 2015

Next, we need to find the number of solved Carjacking cases in the year 2015. From the table, for Carjacking in 2015:

• Registered Cases = 15 (Thousands)
• Pending Cases = 12 (Thousands)

Using the formula:

Solved Carjacking Cases in 2015 = Registered Carjacking Cases in 2015 - Pending Carjacking Cases in 2015

Solved Carjacking Cases in 2015 = \(15 - 12 = 3\) (Thousands)

Finding the Ratio of Solved Cases

The question asks for the ratio of solved Larceny cases in 2017 compared to the number of solved Carjacking cases in 2015.

Ratio = (Solved Larceny Cases in 2017) : (Solved Carjacking Cases in 2015)

Ratio = \(15\) : \(3\)

To simplify the ratio, we can divide both numbers by their greatest common divisor, which is 3.

\(15 \div 3 = 5\)

\(3 \div 3 = 1\)

So, the simplified ratio is \(5 : 1\).

Conclusion on the Ratio Calculation

The ratio of the number of solved Larceny cases in 2017 compared to the number of solved Carjacking cases in 2015 is \(5 : 1\).

Revision Table: Key Calculations

Ratio of Solved Larceny (2017) to Solved Carjacking (2015) = \(15 : 3 = 5 : 1\).

Additional Information: Understanding Data Interpretation

Data interpretation questions like this require careful reading of the table and understanding what each column represents. Registered cases are those officially recorded, while Pending cases are those that are still under investigation or trial. Solved cases often imply cases that have been closed, either by conviction, acquittal, or other means, calculated here as Registered minus Pending.

When calculating ratios, ensure you use the correct values for the specific categories and years requested. Always simplify the ratio to its lowest terms unless specified otherwise.