Answer: The remaining balance after he buys 5 more songs is $10.
Explanation:
Given : The value of the gift card is $20 .
After Noah buys 3 songs the balance on the card is $16.25.
Here ,
Let x be the cost of one song, then
Value of the gift card - cost of x songs =Balance remaining on card

i.e. cost of each song = $1.25
Now , the remaining balance after he buys 5 more songs = $16.25 - 5(1.25)
= $ 16.25 -6.25
= $10
Hence, the remaining balance after he buys 5 more songs is $10.