Question

A $3\text{m}$ rope is equally divided among a group of people. Each gets $\frac{3}{7}$ of the length. How many people are there in the group, if no rope is left after dividing?

• A. $10$
• B. $7$
• C. $3$
• D. $4$

Answer 1

The correct option is B $7$

Detailed step-by-step solution:
Length of rope = $3\text{m}$
Share of each group = $\frac{3}{7}\text{m}$

Share of each group = $\frac{\text{Total length of rope}}{\text{Number of groups}}$

$\frac{3}{7}\text{m}=\frac{\text{Total length of rope}}{\text{Number of groups}}$

By comparing both sides of the equation,
Number of groups = Denominator =$7$
Total length of the rope = Numerator = $3$

Hence, option B is correct.