Question

Ajey collects the cards of three cartoon characters.if 2/5 are Pokemon ,7/15 are Mickey mouse and the remaining are Tweety ,what fraction for Tweety

Answer 1

Let : Total number of card = x

Given :

• Pokemon Card = (2/5) of x
• Mickey mouse card = (7/15) of x

To find : Fraction of Tweety ( = t ...let )

Steps to follow :

• Sum of all three types of card equal to total number of card , that is x.

Solution :

Given that,

Pokemon Card + Mickey mouse card + Tweety = x

=> (2/5)x + (7/15)x + t = x

=> t = x - (2/5)x - (7/15)x

taking LCM on RHS , we get;

$\implies \sf t = \dfrac{(1 \times 15)x - (2 \times 3)x - (7 \times 1)x}{15} \\ \\ \implies \sf \: t \: = \dfrac{15x - 6x - 7x}{15} \\ \\ \implies \sf \: t \: = \: \dfrac{2x}{15}$

ANSWER : Fraction of Tweety card = t = (2/15)