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  • 30-07-2015
  • Mathematics
Answered

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Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent if necessary.

Verified Answer :

Anonymous Anonymous
  • 30-07-2015

\(\left|\begin{array}{ccc}280&-&100\%\\210&-&p\%\end{array}\right|\ \ \ \ |cross\ multiply\\\\\\p\cdot280=210\cdot100\\280p=21000\ \ \ |divide\ both\ sides\ by\ 280\\\boxed{p=75\ (\%)}\)

\(Answer:\ 100\%-75\%=\boxed{25\%}\)

Other solution:
\(280-210=70\\\\\frac{70}{280}=\frac{70:70}{280:70}=\frac{1}{4}\\\\a=a\cdot100\%\to\frac{1}{4}=\frac{1}{4}\cdot100\%=\frac{100}{4}\%=\boxed{25\%}\)

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