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)
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 10, 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 the boys by 10, there will be 46 boys and 24 girls, giving a new ratio of 46:24, which simplifies to 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 10, what will be the new ratio of boys to girls? (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.
Steps: 10
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.
