On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left. How many did he have on Monday?

Respuesta :

Answer:

He have 17 CDs on Monday.

Step-by-step explanation:

Given:

On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left.

Now, to find the CDs he have on Monday.

Let the CDs he have on Monday be [tex]x.[/tex]

So, on Tuesday as James bought 7 CDs:

[tex]x+7.[/tex]

Now, on Wednesday half of all the CDs that he had were destroyed:

[tex]\frac{x+7}{2}[/tex]

As, given on Thursday he had left CDs = 12.

According to question:

[tex]\frac{x+7}{2}[/tex] [tex]=12[/tex]

Multiplying both sides by 2 we get:

[tex]x+7=24[/tex]

Subtracting both sides by 7 we get:

[tex]x=17.[/tex]

Therefore, he have 17 CDs on Monday.