SOLUTION: Your friend says that she has a card trick to show you. 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 t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Your friend says that she has a card trick to show you. 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 t      Log On


   



Question 1013790: Your friend says that she has a card trick to show you. 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
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Result of first step is 7x.

Result of second step is 8x + 40 which factors to 8(x + 5).

Divide by x + 5 and get 8 every time.

John

My calculator said it, I believe it, that settles it