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

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) (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

RELATED QUESTIONS
Your friend says that she has a card trick to show. She has separated a deck of cards so... (answered by KMST)

What are the solutions: After several rounds of a card game, a deck of playing cards... (answered by edjones)

In a standard deck of cards, the jack, queen, and king are "face cards." You draw a card... (answered by josmiceli)

Your friend has chosen at random a card from a standard deck of 52 cards but keeps this... (answered by math_tutor2020,ikleyn)

Sarah has a deck of 52 cards and ramdomly selects 2. What is the probability that she... (answered by stanbon)

A carnival game costs $3 to play. You draw 2 cards from a 12 card deck that has 4 red... (answered by Boreal)

Deck A has 30 red cards and 22 black cards. Deck B has 26 red cards and 26 black cards. A (answered by ewatrrr)

A deck of cards has 6 gray, 5 navy, and 6 yellow cards. You pick 4 cards from the deck. (answered by longjonsilver)