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A table shows the number of students in different streams: Science: 120, Arts: 8

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Question: A table shows the number of students in different streams: Science: 120, Arts: 80, Commerce: 100. What is the ratio of students in Science to those in Arts?

Options:

  1. 3:2
  2. 4:3
  3. 5:4
  4. 6:5

Correct Answer: 3:2

Solution: 

The ratio of students in Science (120) to Arts (80) is 120:80, which simplifies to 3:2.

A table shows the number of students in different streams: Science: 120, Arts: 8

Practice Questions

Q1
A table shows the number of students in different streams: Science: 120, Arts: 80, Commerce: 100. What is the ratio of students in Science to those in Arts?
  1. 3:2
  2. 4:3
  3. 5:4
  4. 6:5

Questions & Step-by-Step Solutions

A table shows the number of students in different streams: Science: 120, Arts: 80, Commerce: 100. What is the ratio of students in Science to those in Arts?
  • Step 1: Identify the number of students in Science, which is 120.
  • Step 2: Identify the number of students in Arts, which is 80.
  • Step 3: Write the ratio of students in Science to those in Arts as 120:80.
  • Step 4: Simplify the ratio 120:80 by dividing both numbers by their greatest common divisor, which is 40.
  • Step 5: Divide 120 by 40 to get 3 and divide 80 by 40 to get 2.
  • Step 6: Write the simplified ratio as 3:2.
  • Ratios – Understanding how to express the relationship between two quantities as a fraction or proportion.
  • Simplification – The process of reducing a ratio to its simplest form by dividing both terms by their greatest common divisor.
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