Understanding Car Production Data

The question asks us to find a specific ratio based on the car production data provided in the table. We need to calculate the total production of type A cars in 2014 and type E cars in 2015, and then find the ratio of this sum to the total production of type C and D cars in 2012.

Data Extraction from Table

First, let's extract the relevant production figures from the table:

• Production of type A cars in 2014: 56 (thousands)
• Production of type E cars in 2015: 64 (thousands)
• Production of type C cars in 2012: 43 (thousands)
• Production of type D cars in 2012: 47 (thousands)

Calculating the Numerator

The numerator of our ratio is the sum of production for type A cars in 2014 and type E cars in 2015.

Calculation:

Total Production (A in 2014 + E in 2015) = 56 + 64

Using LaTeX for the expression:

\text{Total Production (A in 2014 + E in 2015)} = 56 + 64 = 120 \text{ (thousands)}

Calculating the Denominator

The denominator of our ratio is the sum of production for type C cars in 2012 and type D cars in 2012.

Calculation:

Total Production (C in 2012 + D in 2012) = 43 + 47

Using LaTeX for the expression:

\text{Total Production (C in 2012 + D in 2012)} = 43 + 47 = 90 \text{ (thousands)}

Determining the Ratio

Now, we need to find the ratio of the sum calculated in step 2 to the sum calculated in step 3.

Ratio = (Total Production of A in 2014 + E in 2015) : (Total Production of C in 2012 + D in 2012)

Ratio = 120 : 90

Simplifying the Ratio

To simplify the ratio 120 : 90, we find the greatest common divisor (GCD) of 120 and 90, which is 30.

Divide both parts of the ratio by 30:

\frac{120}{30} = 4

\frac{90}{30} = 3

So, the simplified ratio is 4 : 3.

Final Answer

The ratio of the total production of type A cars in 2014 and type E cars in 2015 to the total production of type C and D cars in 2012 is 4 : 3.