SOLUTION: From a piece of cloth we cut 1/5, then 3/8 of the rest and we see that 22m remains more than the 2/5 of the quantitie initial.How many meters of cloth were there at the begining ?

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Question 129464: From a piece of cloth we cut 1/5, then 3/8 of the rest and we see that 22m remains more than the 2/5 of the quantitie initial.How many meters of cloth were there at the begining ?
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Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

If the initial quantity x, then:

%281%2F5%29x+%2B+%283%2F8%29x++=+%282%2F5%29x+%2B+22m+…..multiply both sides by 5%2A8
5%2A8+%281%2F5%29x+%2B+5%2A8+%283%2F8%29x++=+5%2A8+%282%2F5%29x+%2B+5%2A8%2A22m+

8x+%2B+5+%283%29x++=+8+%282%29x+%2B+5%2A8%2A22m+
8x+%2B+15x++=+16x+%2B+880m+
8x+%2B+15x+%96+16x++=++880m+
7x++=++880m+
7x++=++125.7m+
1%2F5%28x%29=125.7%2F5=+25.14m
3%2F8%28x%29=+3%2A125.7%2F8+=377.1%2F8=+47.125m
25.14m+%2B+47.125m++++=++%282%2F5%29+125.7m++%2B+22+
72.265m+=++50.28+%2B+22+
72.27m+=++72.28
72+=72