The top seven countries for vehicle production in a certain year are displayed in the circle graph to the right. A total of 25 comma 900 comma 000 vehicles were manufactured that year. The approximate percentages of the total, rounded to the nearest tenth, are given for each country. Use the circle graph at the right to answer the following question.

Question

The top seven countries for vehicle production in a certain year are displayed in the circle graph to the right. A total of 25 comma 900 comma 000 vehicles were manufactured that year. The approximate percentages of the​ total, rounded to the nearest​ tenth, are given for each country. Use the circle graph at the right to answer the following question.
How many more vehicles were produced in Country 2 than in Country 4 and Country 5 ​combined?
A circle graph consists of a circle divided into seven sectors with labels and sizes as a percentage of the circle as follows: Country 1, 22.5%; Country 2, 27.7%; Country 3, 13.7%; Country 4, 12.2%; Country 5, 8.8%; Country 6, 5.5%; Country 7, 9.6%.
Country 1: 22.5%
Country 2: 27.7%
Country 3: 13.7%
Country 4: 12.2%
Country 5: 8.8%
Country 6: 5.5%
Country 7: 9.6%
Question content area bottom
Part 1
There were approximately 
  
enter your response here more vehicles produced in Country 2 than in Country 4 and Country 5 combined.

GPT-4o · Answer

To determine how many more vehicles were produced in Country 2 than in Country 4 and Country 5 combined, follow these steps:

1. Compute the number of vehicles produced by Country 2, Country 4, and Country 5 based on their respective percentages.
2. Calculate the total number of vehicles produced by combining the outputs of Country 4 and Country 5.
3. Subtract the combined total of Country 4 and Country 5 from the total produced by Country 2 to find the difference.

First, calculate the number of vehicles produced by each country using the given percentages and the total number of vehicles (25,900,000).

\[
\text{Vehicles in Country 2} = \frac{27.7}{100} \times 25,900,000 = 7,184,300
\]

\[
\text{Vehicles in Country 4} = \frac{12.2}{100} \times 25,900,000 = 3,165,800
\]

\[
\text{Vehicles in Country 5} = \frac{8.8}{100} \times 25,900,000 = 2,279,200
\]

Next, sum the vehicles produced by Country 4 and Country 5:

\[
\text{Total in Country 4 and Country 5} = 3,165,800 + 2,279,200 = 5,445,000
\]

Finally, find the difference between the production of Country 2 and the combined production of Country 4 and Country 5:

\[
\text{Difference} = 7,184,300 - 5,445,000 = 1,739,300
\]

So, there were approximately 1,739,300 more vehicles produced in Country 2 than in Country 4 and Country 5 combined.