Question

Set up a proportion for the problem below:

15 is 1 1/2% of what number?

Please answer ASAP!! Thank you :)

Answer 1

let's say that number is "x", therefore "x" is the 100%, and we know that 15 is 1 and 1/2% of that,

$\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 15&1\frac{1}{2} \end{array}\implies \cfrac{x}{15}=\cfrac{100}{1\frac{1}{2}}\implies \cfrac{x}{5}=\cfrac{100}{\frac{3}{2}}\implies \cfrac{x}{5}=\cfrac{\frac{100}{1}}{\frac{3}{2}} \\\\\\ \cfrac{x}{5}=\cfrac{100}{1}\cdot \cfrac{2}{3}\implies \cfrac{x}{5}=\cfrac{200}{3}$