Ethan is shopping on the Internet. He is going to buy 10 songs for his brother as a gift, and some additional songs for himself. Each song costs $1.09, and Ethan can spend up to $20 in all. Which inequality can be solved for n, the number of additional songs Ethan can buy for himself?

A. 1.09n - 10 greater than or equal to 20

B. 1.09n + 10 greater than or equal to 20

C. 1.09(n+10) greater than or equal to 20

D. 1.09(n-10) greater than or equal to 20

1 answer

Ethan is going to buy 10 songs for his brother for $1.09 each, so he will spend 10 * $1.09 = $<<10*1.09=10.90>>10.90 on his brother's songs.
He can spend up to $20 in all, so he will have $20 - $10.90 = $<<20-10.90=9.10>>9.10 remaining to buy additional songs for himself.
Each additional song costs $1.09, so the number of additional songs Ethan can buy is n, where n * $1.09 <= $9.10.
Therefore, the correct answer is D. 1.09(n-10) greater than or equal to 20.