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

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

$x-\dfrac{3}{5}x+10$

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

$x-\dfrac{3}{5}x+10=62$

Subtract 10 from both sides , we get

$x-\dfrac{3}{5}x=52$

$\Rightarrow\ \dfrac{5x-3x}{5}=52$

$\Rightarrow\ \dfrac{2x}{5}=52$

$\Rightarrow\ x=52\times\dfrac{5}{2}=130$

Hence, the number of CDs they originally have = 130