Explanation:

Let’s break down this flower puzzle step-by-step:

- There are 60 students.

- Boys = 5/7 × number of girls. Let girls = G, so boys = 5/7?G.

- Girls + boys = 60 ? G + 5/7?G = 60 ? (12/7)?G = 60 ? G = 35, boys = 25.

Now, look at the preferences:

- Ratio of girls who like Rose to total girls is 2:7 ? 2/7 × 35 = 10 girls like Rose.

- Boys who like Sunflower = 60% of girls who like Rose ? 0.6 × 10 = 6 boys.

- Girls who like Sunflower = 2.5 × boys who like Sunflower ? 2.5 × 6 = 15 girls.

- Girls who like Sunflower = 150% of boys who like Lotus ? 15 = 1.5 × (boys who like Lotus), so boys who like Lotus = 10.

Now let’s check numbers left for Lotus:

- Girls: Rose (10) + Sunflower (15) = 25. So, 35 - 25 = 10 girls like Lotus.

- Boys: Sunflower (6) + Lotus (10) = 16. So, 25 - 16 = 9 boys like Rose (careful here! But we only need Lotus).

Final question: Ratio of boys:girls who like Lotus = 10:10 = 1:1.

CORRECT ANSWER: Option 4 – 1:1

- Option 1 (1:2), Option 2 (3:5), Option 3 (2:1) don’t fit the numbers.

- What this all means: Double-checked every step, and the numbers line up!

Let me know if you want a breakdown for every single flower and student—happy to double-check!