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In a class of 60 students, the ratio of boys to girls is 3:2. If the number of b

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Question: In a class of 60 students, the ratio of boys to girls is 3:2. If the number of boys is increased by 10, what will be the new ratio of boys to girls? (2023)

Options:

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

Correct Answer: 4:3

Exam Year: 2023

Solution: 

Initially, there are 36 boys and 24 girls. After increasing the boys by 10, there will be 46 boys and 24 girls, giving a new ratio of 46:24, which simplifies to 4:3.

In a class of 60 students, the ratio of boys to girls is 3:2. If the number of b

Practice Questions

Q1
In a class of 60 students, the ratio of boys to girls is 3:2. If the number of boys is increased by 10, what will be the new ratio of boys to girls? (2023)
  1. 4:3
  2. 5:2
  3. 3:2
  4. 2:3

Questions & Step-by-Step Solutions

In a class of 60 students, the ratio of boys to girls is 3:2. If the number of boys is increased by 10, what will be the new ratio of boys to girls? (2023)
  • Step 1: Understand the total number of students in the class, which is 60.
  • Step 2: Know the ratio of boys to girls is 3:2.
  • Step 3: Calculate the total parts in the ratio: 3 (boys) + 2 (girls) = 5 parts.
  • Step 4: Find out how many boys there are: (3/5) * 60 = 36 boys.
  • Step 5: Find out how many girls there are: (2/5) * 60 = 24 girls.
  • Step 6: Increase the number of boys by 10: 36 boys + 10 = 46 boys.
  • Step 7: The number of girls remains the same: 24 girls.
  • Step 8: Write the new ratio of boys to girls: 46 boys to 24 girls.
  • Step 9: Simplify the ratio 46:24 by dividing both numbers by 2: 46 ÷ 2 = 23 and 24 ÷ 2 = 12.
  • Step 10: The simplified ratio is 23:12.
  • Ratios – Understanding and manipulating ratios to find relationships between quantities.
  • Proportions – Using proportions to maintain the relationship between boys and girls when changes occur.
  • Basic Arithmetic – Performing addition and simplification of fractions to find the new ratio.
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