Jose receives a $10 gift card for downloading music and wants to determine how many songs he can purchase. Each downloaded song costs $1.19. Write and solve an inequality to determine how many songs Jose can purchase. What does the solved inequality represent?

One correct inequality is

1.19x≤10,

and the correct solution is

x≤8.

Explanation:

Let x be the number of songs Jose downloads.  Each song has a cost of $1.19; this would give the total amount spent as 1.19*x, or 1.19x.  

He has at most $10 to spend.  This means he can spend less than $10 or exactly $10; this gives us the inequality symbol ≤, which makes our complete inequality

1.19x ≤ 10.

To solve this, divide both sides by 1.19:

1.19x/1.19 ≤ 10/1.19

x ≤ 8.4.

Jose won't download a partial song, so we round this down to 8:

x≤8

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