Question

the ratio of boys to girls in a school is 2:3. check all statements that must be true based on the statement above. if none of the statements is true, check
one of the above\. □ for every 2 girls in the school, there are 3 boys. □ for every 2 boys in the school, there are 3 girls. □ there are exactly 2 boys and exactly 3 girls in the school. □ for every 3 boys in the school, there are 2 girls. □ none of the above

Explanation:

• The ratio of boys to girls is \(2:3\), which means for every 2 boys, there are 3 girls.
• The first statement swaps the ratio (says 2 girls to 3 boys), which is incorrect.
• The third statement implies the total number is exactly 2 boys and 3 girls, but a ratio just shows the proportion, not the exact count (there could be 4 boys and 6 girls, etc.).
• The fourth statement also swaps the ratio (says 3 boys to 2 girls), which is incorrect.
• The second statement correctly reflects the ratio \(2:3\) (2 boys to 3 girls).

Answer:

B. For every 2 boys in the school, there are 3 girls.