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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 and the number of girls is decreased by 5, what will be the new ratio of boys to girls? (2023)

Options:

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

Correct Answer: 4:3

Exam Year: 2023

Solution: 

Initially, there are 36 boys and 24 girls. After the changes, there will be 46 boys and 19 girls. The new ratio is 46:19, which simplifies to approximately 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 and the number of girls is decreased by 5, what will be the new ratio of boys to girls? (2023)
  1. 2:3
  2. 3:2
  3. 5:3
  4. 4:3

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 and the number of girls is decreased by 5, 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. This means for every 3 boys, there are 2 girls.
  • 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 parts / 5 parts) * 60 students = 36 boys.
  • Step 5: Find out how many girls there are: (2 parts / 5 parts) * 60 students = 24 girls.
  • Step 6: Increase the number of boys by 10: 36 boys + 10 = 46 boys.
  • Step 7: Decrease the number of girls by 5: 24 girls - 5 = 19 girls.
  • Step 8: Write the new number of boys and girls: 46 boys and 19 girls.
  • Step 9: Find the new ratio of boys to girls: 46 boys : 19 girls.
  • Step 10: Simplify the ratio if possible. The ratio 46:19 is already in its simplest form.
  • Ratios – Understanding and manipulating ratios to find relationships between quantities.
  • Proportions – Applying changes to quantities and recalculating ratios to determine new relationships.
  • Basic Arithmetic – Performing addition and subtraction to adjust quantities before calculating ratios.
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