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?

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Answer 1 · 2016-09-30T10:03:19

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

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

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

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

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

$392 - x = 2 \times 68$ $392-x=2xx68$ or $392 - x = 136$ $392-x=136$

or $392 - x + x = 136 + x$ $392-x+x=136+x$ or $136 + x = 392$ $136+x=392$

or $x = 392 - 136 = 256$ $x=392-136=256$

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