Question

Kelly has 4x as much money as Joey. After Kelly uses some money to buy a racquet, and Joey uses $30 to buy shorts, Kelly has twice as much money as Joey. If Joey started with $98, how much money does Kelly have? what does the racquet cost?

Answer 1

Kelley has `$136` and racquet costs `$256`

Explanation:

As Joey started with `$98` and Kelly had `4` times as much money as Joey had, Kelly started with `98xx4=$392`

Assume that racquet costs `$x`, so Kelly will be left with `$392-$x=$(392-x)`.

As Joey spent `$30` to buy shorts, he was left with `$98-$30=$68`.

Now Kelley has `$(392-x)` and Joey has `68`, as Kelly has twice as much money as Joey has, we have

`392-x=2xx68` or `392-x=136`

or `392-x+x=136+x` or `136+x=392`

or `x=392-136=256`

So Kelley has `$136` and racquet costs `$256`