Question

By what percent has the rhinoceros weight increased

Answer 1

let's first off convert those mixed fractions to improper fractions, then get their difference.

`\bf \stackrel{mixed}{1(1)/(2)}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2(1)/(10)}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{21}{10}-\cfrac{3}{2}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{(1)21-(5)3}{10}}\implies \cfrac{21-15}{10}\implies \cfrac{6}{10}\implies \cfrac{3}{5}`

now, the original amount, 3/2, if that is the 100%, what is 3/5 off of it in percentage?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2}\\ (3)/(2)&100\\\\ (3)/(5)&x \end{array}\implies \cfrac{~~(3)/(2)~~}{(3)/(5)}=\cfrac{100}{x}\implies \cfrac{3}{2}\cdot \cfrac{5}{3}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40`