Question

Ravish had 20 pencils, Sikha had 50 pencils and Priya had 80 pencils. After 4 months, Ravish used up 10 pencils. Shikha used up 25 pencils and Priya used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of their pencils?

Answer 1

Total pencils Ravish had = 20
Pencils used by Ravish = 10
Fraction of pencils used by ravish = $\frac{10÷10}{20÷10}=\frac{1}{2}(\mathrm{Dividing}\mathrm{both}\mathrm{the}\mathrm{numerator}\&\mathrm{denominator}\mathrm{by}\mathrm{the}\mathrm{HCFs}\mathrm{of}10\&20)$

Total pencils Shikha had = 50
Pencils used by Shikha = 25
Fraction of pencils used by Shikha = $\frac{25÷25}{50÷25}=\frac{1}{2}(\mathrm{Dividing}\mathrm{both}\mathrm{the}\mathrm{numerator}\&\mathrm{denominator}\mathrm{by}\mathrm{the}\mathrm{HCFs}\mathrm{of}25\&50)$

Total pencils Priya had = 80
Pencils used by Priya = 40
Fraction of pencils used by Priya = $\frac{40÷40}{80÷40}$=$\frac{1}{2}(\mathrm{Dividing}\mathrm{both}\mathrm{the}\mathrm{numerator}\&\mathrm{denominator}\mathrm{by}\mathrm{the}\mathrm{HCFs}\mathrm{of}40\&80)$

Yes, each of them has utilised an equal fraction of pencils.