Question

How to answer this work sheet

Answer 1

well, we can look at it this way

A)

if 10 is the 100%, how much is 7 off of it in percentage?

`\begin{array}{ccll} Amount&\%\\ \cline{1-2} 10 & 100\\ 7& x \end{array} \implies \cfrac{10}{7}~~=~~\cfrac{100}{x} \\\\\\ 10x=700\implies x=\cfrac{700}{10}\implies x=70\%`

B)

if 100 is the 100%, what is 92 off of it percentage?

`\begin{array}{ccll} Amount&\%\\ \cline{1-2} 100 & 100\\ 92& x \end{array} \implies \cfrac{100}{92}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{25}{23} ~~=~~ \cfrac{100}{x}\implies 25x=2300\implies x=\cfrac{2300}{25}\implies x=92\%`

C)

if 15 is the 100%, what is 13 off of it in percentage?

`\begin{array}{ccll} Amount&\%\\ \cline{1-2} 15 & 100\\ 13& x \end{array} \implies \cfrac{15}{13}~~=~~\cfrac{100}{x} \\\\\\ 15x=1300\implies x=\cfrac{1300}{15}\implies x=86.\overline{66}\%`

D)

if 28 is the 100%, what is 22 off of it in percentage?

`\begin{array}{ccll} Amount&\%\\ \cline{1-2} 28 & 100\\ 22& x \end{array} \implies \cfrac{28}{22}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{14}{11} ~~=~~ \cfrac{100}{x}\implies 14x=1100\implies x=\cfrac{1100}{14}\implies x\approx 78.57\%`