Question

John can play 12 songs on the guitar and he

learns 1 new song each week. Aiden can play 4 songs.
but he learns 2 each week. How many weeks (w) will it
be before Aiden knows as many songs as John?

Answer 1

8 weeks

Explanation:

Let

w = number of weeks

John = 12 + w

Aiden = 4 + 2w

How many weeks (w) will it be before Aiden knows as many songs as John?

Equate both John and Aiden expression

John = Aiden

12 + w = 4 + 2w

Collect like terms

12 - 4 = 2w - w

8 = w

w = 8 weeks

It will take 8 weeks before Aiden knows as many songs as John