To determine the number of songs Sylvia can buy and still have at least $10 left after spending some of her $25 birthday money on Spotify music, we can set up the following inequality:
Let x be the number of songs Sylvia can buy.
The total amount she spends on songs is $1.20 per song, so the total cost of x songs is 1.20x.
After purchasing the songs, Sylvia wants to have at least $10 left, which means the amount left must be greater than or equal to $10.
Therefore, the inequality can be written as:
$25 - 1.20x ≥ $10
Solving the inequality:
$25 - $10 ≥ 1.20x
$15 ≥ 1.20x
$15 ÷ 1.20 ≥ x
12.5 ≥ x
So, Sylvia can buy up to 12 songs and still have at least $10 left from her birthday money after purchasing music from Spotify.
In conclusion, Sylvia can buy a maximum of 12 songs from Spotify and ensure she has at least $10 remaining from her $25 birthday money.
