Question

8 is 0.5% of what number

Answer 1

.5% = .5/100 = .005

8 = .005 *n

divide by .005 on each side

8/.005 =n

1600=n

Answer 2

Method 1:

`\begin{array}{ccc}100\%&-&x\\0.5\%&-&8\end{array}\qquad\text{cross multiply}\\\\0.5x=(100)(8)\\\\0.5x=800\qquad\text{multiply both sides by 2}\\\\\boxed{x=1,600}\\\\Answer:\ \text{8 is 0.5}\%\ \text{of 1,600.}`

Method 2:

`p\%=(p)/(100)\\\\0.5\%=(0.5)/(100)=(5)/(1,000)\\\\n-a\ number\\\\0.5\%\ of\ n\ is\ 8\\\\(5)/(1,000)x=8\\\\(1)/(200)x=8\qquad\text{multiply both sides by 200}\\\\\boxed{x=1,600}`

Method 3:

`5\%=0.005\\\\8:0.005=8,000:5=\boxed{1,600}`