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Due to good conditions, a company was able to reduce the length of a

project from 33 days to 3 days. What is the percentage decrease in
time to complete the project? Round your answer to the nearest tenth.
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1 Answer

5 votes

well, the decrease was substantial, it was 30 days.

now, if we take 33(origin amount) to be the 100%, what is 30 off of it in percentage?


\begin{array}{ccll} amount&\%\\ \cline{1-2} 33 & 100\\ 30& x \end{array} \implies \cfrac{33}{30}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 11 }{ 10 } ~~=~~ \cfrac{ 100 }{ x }\implies 11x=1000\implies x=\cfrac{1000}{11}\implies x\approx 90.9

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