In a class of 60 students, the ratio of boys to girls is 3:2. If the number of boys is increased by 5, what will be the new ratio of boys to girls? (2023)
Practice Questions
1 question
Q1
In a class of 60 students, the ratio of boys to girls is 3:2. If the number of boys is increased by 5, what will be the new ratio of boys to girls? (2023)
4:3
5:2
3:2
2:3
Initially, there are 36 boys and 24 girls. After increasing boys by 5, there will be 41 boys and 24 girls, giving a new ratio of 41:24, which simplifies to approximately 4:3.
Questions & Step-by-step Solutions
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Q
Q: In a class of 60 students, the ratio of boys to girls is 3:2. If the number of boys is increased by 5, what will be the new ratio of boys to girls? (2023)
Solution: Initially, there are 36 boys and 24 girls. After increasing boys by 5, there will be 41 boys and 24 girls, giving a new ratio of 41:24, which simplifies to approximately 4:3.
Steps: 9
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 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 5: 36 boys + 5 = 41 boys.
Step 7: The number of girls remains the same: 24 girls.
Step 8: Write the new ratio of boys to girls: 41 boys to 24 girls.
Step 9: Simplify the ratio if possible. The ratio 41:24 does not simplify further.
