Question

Question #20e51

Answer 1

Jim: `$16`
Carmen: `$9`
Tom: `$48`

Explanation:

Let he amount of what Jim has be `color(green)x`

Carmen has `7` less than Jim so he has `color(green)xcolor(red)(-7)`

Tom has `3` times what Jim has so he has `color(blue)3color(green)x`

The total is `73` so,

`x+(x-7)+3x=73`

`x+x-7+3x=73`

Add like terms (`x` terms together)

`5x-7=73`

Add `7` to both sides

`5xcancel(-7+7)=73+7`

`5x=80`

Divide both sides by `5`

`x=16`,

Now Jim has `x` so he has `color(magenta)16`

Carmen has `7` less than Jim so he has `16-7` which is `color(magenta)9`

Tom has `3` times Jim so he has `3(16)` which is `color(magenta)48`.

To check your answer add those values together, they must sum up to `73`

`color(magenta)48+color(magenta)9+color(magenta)16=73`, so the answer is correct