The circle graph to the right shows the number of students at Somewhereville College who are enrolled in various majors. Find the ratio of Science majors to Business majors.

Question

Question content area bottom left
Part 1
The ratio is
  
enter your response here.
​(Type a whole number or a simplified​ fraction.)
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Question content area right
Part 1
A circle graph titled Major and number of Students consists of a circle divided into six sectors with labels and approximate sizes as a percentage of the circle as follows: Business 4200, 36 percent; Computer Science 1600, 14 percent; Science 800, 6 percent; English 2100, 18 percent; History 700, 6 percent; Social Science 2600, 22 percent.
Major and # of Students
Business 4200
Computer Science 1600
Science 800
English 2100
History 700
Social Science 2600

Answer 1

To find the ratio of Science majors to Business majors, we need the number of students enrolled in each of these majors.

From the information provided:

• The number of Business majors is 4200.
• The number of Science majors is 800.

Now, we can calculate the ratio:

\[ \text{Ratio of Science majors to Business majors} = \frac{\text{Number of Science majors}}{\text{Number of Business majors}} = \frac{800}{4200} \]

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 800 and 4200 is 200.

\[ \frac{800 \div 200}{4200 \div 200} = \frac{4}{21} \]

Thus, the ratio of Science majors to Business majors is:

\[ \frac{4}{21} \]

You can enter the answer as: 4/21.