Calid spent half of the money he earned from his job on video games. Of the money he spent on video games, 2/3 was spent on strategy games that cost $80. How much money had Calid earned

Respuesta :

Answer:

$240

Step-by-step explanation:

Let the total money earned by Calid=x

He spends half of the money he earned from his job on video games.

Amount Spent on Video Games= [tex]\frac{1}{2}x[/tex]

Of the money he spent on video games, 2/3 was spent on strategy games that cost $80.

i.e [tex]\frac{2}{3} of \frac{1}{2}x[/tex] was spent on strategy games.

Since Strategy games cost $80

[tex]\frac{2}{3}X\frac{x}{2} = 80\\[/tex]

This gives:

[tex]\dfrac{2x}{3 X 2}=80\\ \dfrac{x}{3}=80[/tex]

Cross Multiplying

x=80 X 3 =$240.

Therefore the total money earned by Calid is $240.

Answer:

Step-by-step explanation:

$240

From the question provided above,Calid spent half of the money he earned from a job on video games.

The equation for the above sentence will be:

Let Y= the total amount of money Calid earned from his job

Half of that money which was spent on video games will be

1/2×[X]= x/2

And 2/3 of the money assigned specifically for the video game is for strategy games which cost $80

The above question will derive this equation:

2/3×[x/2]=80

~ 2x/6= 80

X/3= 80

X=80×3

X= $240