Answer: 130
Step-by-step explanation:
Let x be the original number of hip- hop CDs in the music store.
Given : A music store has sold 3/5 of their hip-hop CDs, but 10 were returned.
i.e. The number of hip- hop CDs in the store will be :
Original No. of CDs - CDs sold + CDs Returned
[tex]x-\dfrac{3}{5}x+10[/tex]
If the store has 62 Hip-Hop CDs now , then required euation will be :-
[tex]x-\dfrac{3}{5}x+10=62[/tex]
Subtract 10 from both sides , we get
[tex]x-\dfrac{3}{5}x=52[/tex]
[tex]\Rightarrow\ \dfrac{5x-3x}{5}=52[/tex]
[tex]\Rightarrow\ \dfrac{2x}{5}=52[/tex]
[tex]\Rightarrow\ x=52\times\dfrac{5}{2}=130[/tex]
Hence, the number of CDs they originally have = 130
