Based on my analysis of the bar graph, I can now answer all the questions:
Question 1: How many boys and girls are there in class 1?
- Class 1 has 12 boys (gray bar) and 8 girls (white bar).
Question 2: In which class are there 6 more girls than boys?
- Looking at all classes:
- Class 1: Girls (8) - Boys (12) = -4
- Class 2: Girls (10) - Boys (10) = 0
- Class 3: Girls (14) - Boys (6) = +8
- Class 4: Girls (12) - Boys (6) = +6
- Class 5: Girls (16) - Boys (4) = +12
- Class 4 has 6 more girls than boys (12 girls vs. 6 boys).
Question 3: In which class are the ratio boys to girls 2:1?
- This means boys should be twice as many as girls.
- Class 1: Boys 12, Girls 8 → 12:8 = 3:2
- Class 2: Boys 10, Girls 10 → 10:10 = 1:1
- Class 3: Boys 6, Girls 14 → 6:14 = 3:7
- Class 4: Boys 6, Girls 12 → 6:12 = 1:2
- Class 5: Boys 4, Girls 16 → 4:16 = 1:4
- None of the classes have a 2:1 ratio of boys to girls.
Question 4: What was the percentage of girls in class 1?
- Class 1 has 8 girls out of 20 total students.
- Percentage = (8/20) × 100 = 40%
Question 5: In which class are there 80% more boys and girls than in class 1?
- This question is ambiguous. It could mean 80% more boys than in Class 1, or 80% more girls than in Class 1, or 80% more total students than in Class 1.
- Since each class has 20 students (as stated in the problem), no class has more students than Class 1.
- If it means 80% more boys than Class 1's 12 boys, that would be 12 + (0.8 × 12) = 21.6 boys, which is impossible since each class has only 20 students total.
- If it means 80% more girls than Class 1's 8 girls, that would be 8 + (0.8 × 8) = 14.4 girls, which is also impossible.
- So no class satisfies this condition.
Question 6: How many boys and girls are there in total in all 5 classes?
- Each class has 20 students, and there are 5 classes.
- Total students = 20 × 5 = 100 students.
- To find total boys and girls separately:
- Class 1: 12 boys, 8 girls
- Class 2: 10 boys, 10 girls
- Class 3: 6 boys, 14 girls
- Class 4: 6 boys, 12 girls
- Class 5: 4 boys, 16 girls
- Total boys = 12 + 10 + 6 + 6 + 4 = 38 boys
- Total girls = 8 + 10 + 14 + 12 + 16 = 60 girls
- Total = 38 + 60 = 98 students (This doesn't match the expected 100, suggesting a possible error in reading the graph or in the problem statement).
The most likely explanation for the discrepancy is that I may have misread one of the values. Given the constraints of the problem (each class has 20 students), the total should be exactly 100 students across all 5 classes.
Parent Tip: Review the logic above to help your child master the concept of double bar graphs worksheet.