Boys-to-girls ratio from class counts In a class of 95 students, there are 45 girls. What is the ratio of the number of boys to the number of girls?

Introduction / Context:This is a direct ratio problem: compute counts of boys and girls and express them in simplest integer ratio form. Such questions check arithmetic accuracy and reduction to simplest terms.

Given Data / Assumptions:

• Total students = 95.
• Girls = 45.
• Boys = Total − Girls = 95 − 45 = 50.

Concept / Approach:Required ratio = Boys : Girls = 50 : 45. Divide both terms by their greatest common divisor (5) to simplify the ratio to lowest terms.

Step-by-Step Solution:Boys = 95 − 45 = 50.Raw ratio = 50 : 45.Divide by 5 ⇒ 10 : 9.

Verification / Alternative check:10 + 9 = 19 ratio parts; if each part represented 5 students, 19 * 5 = 95 total, consistent with the class size.

Why Other Options Are Wrong:Ratios 9:10 or 7:8 invert or misstate the counts; 9:11 is not equivalent to 50:45; 5:4 is 1.25, not matching 50/45 = 1.111…

Common Pitfalls:Accidentally giving Girls:Boys instead of Boys:Girls, or forgetting to reduce to simplest form.

Final Answer:10:9