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We have all been taught that you simply cross multiply to find the answer WHY DOES THIS WORK??? 2 cups ? cups  =  4 people 12 people To solve you simply 2 x 12 = 24 and then 24 / 4 = 6 cups of flour. a c - = - b d then you multiply both sides by n/n which is 1) Now you have, a d c b - x - = - x - b d d b ad bc --- = --- bd bd Since your denominators are the same you can ignore them and now have, ad = bc a c - = - b d X  =  4 12 12 x 4  x  =  x  4 12 12 4 (2)(12) 4x    =   (4)(12) (4)(12) (2)(12) = 4x Or 2 x 12 = 24 24/4 = 6 4 * x = 4x x = 6& .answer! <u1`$*06 1`0fr,8lx2 "$           ,9"D "H "00 " $           ,9" D " 0 "H$           ,9"HD "")0 "@M $           ,9"@M D " 0 "$           ,9"D "&$           ,D "H "  ""  0  1`0@P`p||||||||||  "PS9"PS ""       ,7 =">" D "H ";J~ $&Z\^dnzHXZh|,.8DNVdn : < B D p . 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