11 pieces of rope , which are of same length , can be tied together to form a rope is 58.85 meters long . How many similar pieces are needed to make a rope that is 123.05 meters long ?
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Answer:
9 pieces of rope is 58.55 two ropes are are similar piece 123.05
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Step-by-step explanation:
let the length of 1 piece of rope be 'a' meters
now, there are 11 pieces of rope..
therefore, 11 × a = 58.85
a = 58.85 ÷ 11
a = 5.35
Hence, length of 1 rope = 5.35 meters
now we want the no. of pieces of rope which when tied together make 123.05 meters of rope.
let required no. pieces be 'b'.
therefore, 5.35 × b = 123.05
b = 123.05 ÷ 5.35
b = 23
hence, required no. of pieces are 23.
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