標題:
中二英數ge問題
發問:
3)A pizza is first divided into two parts A and B in the ratio 3:5 by area. The larger part is further divided into two parts C and D in the ratio 3:4 by area. (a)find the ratios of areas of A:C:D (b)find the ratios of areas of D:the whole pizza
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I'm sad to see someone did the question wrongly, so I'm going to show my correct solution. (a) Let the area of the whole pizza be X Area of part A= 3X/(3+5) = 3X/8 Area of part B= 1 - 3X/8 = 5X/8 Since part B is larger, Area of part C= (5X/8)[3/(3+4)] = 15X/56 Area of part D= (5X/8)[4/(3+4)] = 20X/56 Area of part A= 21X/56 (Change denominator to 56) Required ratio = 21X/56 : 15X/56 : 20X:56 = 21:15:20 (b) From (a), part D is 20/56 of X Required ratio = 20:56 = 5:14 2008-02-16 16:20:51 補充： He has deleted his answer
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