Question

A music store has sold 3/5 of their hip-hop CDs, but 10 were returned.Now the store has 62 Hip-Hop CDs,How many Hip-Hop CDs did they originally have?

Answer 1

Answer: 130

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

`x-(3)/(5)x+10`

If the store has 62 Hip-Hop CDs now , then required euation will be :-

`x-(3)/(5)x+10=62`

Subtract 10 from both sides , we get

`x-(3)/(5)x=52`

`\Rightarrow\ (5x-3x)/(5)=52`

`\Rightarrow\ (2x)/(5)=52`

`\Rightarrow\ x=52*(5)/(2)=130`

Hence, the number of CDs they originally have = 130