What is the ratio of the total exports of cars of type A in 2014 and 2018 to the total exports of cars of type B in 2015 and 2016

Options

A. `11:10`
B. `10:9`
C. `5:4`
D. `3:2`

Answer

To solve the question, we need to find the ratio of the total exports of cars of type A in 2014 and 2018 to the total exports of cars of type B in 2015 and 2016. Here’s how we can do that step by step:

### Step 1: Find the total exports of cars of type A in 2014 and 2018.
- According to the data, the exports of cars of type A are:
- In 2014: 200 cars
- In 2018: 300 cars
- Now, we add these two values together:
\[ \text{Total exports of type A} = 200 + 300 = 500 \]

### Step 2: Find the total exports of cars of type B in 2015 and 2016.
- According to the data, the exports of cars of type B are:
- In 2015: 250 cars
- In 2016: 200 cars
- Now, we add these two values together:
\[ \text{Total exports of type B} = 250 + 200 = 450 \]

### Step 3: Calculate the ratio of the total exports of type A to type B.
- We now have:
- Total exports of type A (2014 and 2018) = 500
- Total exports of type B (2015 and 2016) = 450
- The ratio can be expressed as:
\[ \text{Ratio} = \frac{\text{Total exports of type A}}{\text{Total exports of type B}} = \frac{500}{450} \]

### Step 4: Simplify the ratio.
- To simplify the ratio \( \frac{500}{450} \), we can divide both the numerator and the denominator by 50:
\[ \frac{500 \div 50}{450 \div 50} = \frac{10}{9} \]

### Final Answer:
The ratio of the total exports of cars of type A in 2014 and 2018 to the total exports of cars of type B in 2015 and 2016 is \( 10:9 \).

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