Answer:
After 5.6 weeks they will have the same number of comic books.
Number of books = 61
Explanation:
Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books each month.
Again, his uncle has 145 comic books but sends five to each of his 3 nieces each month.
As Tom is one of his nieces so, in every week the collection of tom gets increases by (5 + 5) = 10
Therefore, after w weeks tom's collection will have C₁ = 5 + 10w ......... (1)
And Tom's uncle will have after w weeks C₂ = 145 - 15w ............ (2) comic books in his collection.
If C₁ = C₂ , then
5 + 10w = 145 - 15w
⇒ 25w = 140
⇒ w = 5.6 weeks.
Therefore, after 5.6 weeks they will have the same number of comic books. (Answer)
And the number of books it will be
C = 5 + 10 × 5.6 = 61. (Answer)