the weight of five cartoon of books that are to be dispatched to school a, b, c, d, and d are in the ratio 5:6:7:8:9,respectively. if the total weight of the books is 700kg,find the weight of each carton
vasantnaik407:
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Oh Mary! This is how I would have solved it, using equations. Let L be the original length of the string, and R be what is remaining once you have cut the string twice. We know that R = (L x 3/5) – 14m, and that ((L x 2/5) +14) /R = 3, or 2L/5 + 14 = 3R. By substituting the first equation in the second we have 2L/5 + 14 = 9L/5 –42. Which rearranges to:7L/5 = 56, or L = 40. So R = 10m.
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let the weight of each carton is 5x, 6x, 7x, 8x, & 9x
=>5x+6x+7x+8x+9x =700
=>35x = 700
=>x =700/35=20
the weight of each carton is
=>5x = 5×20= 100 kg
=>6x = 6×20=120kg
=>7x = 7×20=140kg
=>8x =8×20=160kg
=>9x = 9×20=180kg
=>5x+6x+7x+8x+9x =700
=>35x = 700
=>x =700/35=20
the weight of each carton is
=>5x = 5×20= 100 kg
=>6x = 6×20=120kg
=>7x = 7×20=140kg
=>8x =8×20=160kg
=>9x = 9×20=180kg
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