Question

How do i solve this?

Answer 1

`Method\ \#1:\\\\\begin{array}{ccc}150&-&100\%\\10&-&p\%\end{array}\qquad\text{cross multiply}\\\\150p=1000\qquad\text{divide both sides by 150}\\\\p=(1000)/(150)\\\\p=(100)/(15)\\\\p=(20)/(3)\\\\p=6(2)/(3)`

`Method\ \#2:\\\\\begin{matrix}150&-&100\%&\text{divide both sides by 10}\\15&-&10\%&\text{divide both sides by 3}\\5&-&(10)/(3)\%&\text{multiply both sides by 2}\\10&-&(20)/(3)\%\end{matrix}`

`Method\ \#3:\\\\10\ of\ 150\ is\ (10)/(150)=(1)/(15)\\\\\text{Convert to the percent}\\\\(1)/(15)=(1)/(15)\cdot100\%=(100)/(15)\%=(100:5)/(15:5)\%=(20)/(3)\%=6(2)/(3)\%`

`Answer:\ \boxed{10\ is\ 6(2)/(3)\%\ of\ 150.}`