Question

16 is 10% of what number

Answer 1

let's say is 16% of "x", meaning "x" is the 100%.

we know "x" is 100% and 16% of it is 10, so

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 16&10 \end{array}\implies \cfrac{x}{16}=\cfrac{100}{10}\implies \cfrac{x}{16}=10\implies x = 160`

Answer 2

160

Explanation:

`\bold{METHOD\ 1:}\\\\\begin{array}{cccc}16&-&10\%&\text{multiply both sides by 10}\\\\(16)(10)&-&(10\%)(10)\\\\160&-&100\%\end{array}`

`\bold{METHOD\ 2:}\\\\\begin{array}{ccc}10\%&-&16\\\\100\%&-&x\end{array}\qquad\text{cross multiply}\\\\\\(10)(x)=(100)(16)\\\\10x=1600\qquad\text{divide both sides by 10}\\\\(10x)/(10)=(1600)/(10)\\\\x=160`

`\bold{METHOD\ 3:}\\\\x-\text{number}\\\\p\%=(p)/(100)\to10\%=(10)/(100)=(1)/(10)=0.1\\\\10\%\ of\ x\ is\ equal\ 16:\\\\0.1x=16\qquad\text{divide both sides by 0.1}\\\\(0.1x)/(0.1)=(16)/(0.1)\\\\x=(16\cdot10)/(0.1\cdot10)\\\\x=(160)/(1)\\\\x=160`