On Monday, Ken spent half of his money on a new game. The next doy he earned $ 12 mowing lawns He now has $32. How much money did Ken hoy before bought the game ?

Respuesta :

Answer: 40$

Step-by-step explanation: before the mowing 20$ if half is on the game before game would be 40

Answer:

He had $ 40 before bought the game.

Step-by-step explanation:

Let x be the original amount ( in dollars ) contained by Ken,

His spending on game = half of his money = [tex]\frac{x}{2}[/tex]

So, the remaining money = [tex]x-\frac{x}{2}[/tex] = [tex]\frac{x}{2}[/tex]

Now, his earning = $ 12,

Thus, final amount he has = remaining amount + earning

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

According to the question,

[tex]\frac{x}{2}+12=32[/tex]

[tex]\frac{x}{12}=20[/tex]

[tex]\implies x= 40[/tex]

Hence, he had $ 40 before bought the game .