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## ChallengingProblems## Hannah ProblemThere are n sweets in a bag. Six of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag. She eats the sweet. Hannah then takes at random another sweet from the bag. She eats the sweet. The probability that Hannah eats two orange sweets is 1/3. Show that n²-n-90=0 ## Hannah Problem againThere are n sweets in a bag. Six of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag. She eats the sweet. Hannah then takes at random another sweet from the bag. She eats the sweet. The probability that Hannah eats two orange sweets is 1/3. Show that n²-n-90=0 [[Solution - Hannah Problem|Solution]] ## Number of pagesTo number the pages of a story book, 642 digits (0,1,2...9) are needed. How many pages does the story book have? ## Brain TeaserA hammer and a nail cost $1.10, and the hammer costs one dollar more than the nail. How much does the nail cost? |

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