Question

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

Answer 1

$240

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=
`(1)/(2)x`

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

i.e
`(2)/(3) of (1)/(2)x` was spent on strategy games.

Since Strategy games cost $80

`(2)/(3)X(x)/(2) = 80\\`

This gives:

`(2x)/(3 X 2)=80\\ (x)/(3)=80`

Cross Multiplying

x=80 X 3 =$240.

Therefore the total money earned by Calid is $240.

Answer 2

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