Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books each month. His uncle has 145 comic books, but sends

five to each of his 3 nieces each month. In how many months will they have the same number of comic books? How many books will that be?

After 5.6 weeks they will have the same number of comic books.

Number of books = 61

Step-by-step 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)