document.write( "Question 1013792: Your friend says that she has a card trick to show. She has separated a deck of cards so that the deck of cards contain no aces or face cards. She asks you to draw a card and then tells you to multiply the number on it by 7. Next she tells to add the sum of your number and 40 to the product you found. Last she tells you to divide by the sum of your number and 5. She gurentees she can guess this final quotient. Explain how she is able to do this \n" ); document.write( "

Algebra.Com's Answer #630084 by KMST(5328) $\"\"$ $\"About$

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$\"x\"$ = the number on your card
\n" ); document.write( "When you multiply the number on your card by $\"7\"$ , you get $\"7x\"$ .
\n" ); document.write( "The sum of your number and $\"40\"$ is $\"40%2Bx\"$ .
\n" ); document.write( "When you add the sum of your number and 40 to the product you found before, you get
\n" ); document.write( " $\"7x%2B%2870%2Bx%29=7x%2B40%2Bx=8x%2B40=8%28x%2B5%29\"$ .
\n" ); document.write( "When you divide by the sum of your number and 5,
\n" ); document.write( "you are dividing $\"8%28x%2B5%29\"$ by $\"x%2B5\"$ ,
\n" ); document.write( "and you get
\n" ); document.write( " $\"8%28x%2B5%29%2F%28x%2B5%29=highlight%288%29\"$ . \n" ); document.write( "

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