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In a book store 60 identical books occupy a length of 1.5 on a shelf. find (i) the length occupied by 50 such books on a shelf (ii) the number of such books needed to completely occupy a shelf that is 80 cm longplease answer correctly and with full solution working |
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Answer» Answer: i) 1.25m ii) 32 books Step-by-step explanation: 60 IDENTICAL books OCCUPIES = length of 1.5m (i) the length occupied by 50 such books on a shelf, If: 60 books = 1.5m 50 books = y m 60 × YM = 1.5 × 50 ym = 1.5 × 50/60 = 1.25 m Therefore, 50 of such books occupies a length of 1.25m (ii) the number of such books NEEDED to completely occupy a shelf that is 80 cm long. 100 cm = 1m 80 cm = X m Cross Multiply xm = 80/100 = 0.8 m If : 1.5 m = 60 books 0.8 m = y books Cross Multiply = 1.5m × y books = 60 books × 0.8m y books = 60 books × 0.8m/1.5m y books = 32 books Therefore, 32 books occupies a shelf that is 80 cm or 0.8 m long |
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