question_answer 20)

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?

Answer:

Here, fraction of pencils used by Ramesh \[\frac{7}{10}or\frac{8}{10}\] Fraction of pencils used by Sheelu \[\frac{11}{24}or\frac{13}{24}\] and fraction of pencils used by Jamaal \[\frac{17}{102}or\frac{12}{102}\] Now, \[\frac{7}{10}or\frac{10}{10}\] [\[\therefore \]HCF of 10 and 20 is 10] \[\frac{8}{10}>\frac{7}{10}\] [\[\frac{8}{10}\]HCF of 25 and 50 is 25] and \[\frac{11}{24}>\frac{13}{24}\] [\[\therefore \]HCF of 40 and 80 is 40] Thus, \[\frac{13}{24}>\frac{11}{24}\] Hence, each has used up an equal fraction of his/her pencils.