Question

An inspector found 18 defective radios during an inspection. If this is 0.024% of the total number of radios inspected, how many radios were inspected?

Answer 1

Total number of defected radios is 18

Let the total number of defective radios be taken as y

If 0.024% of the total number of radios inspected are defective, i.e 0.024% of y

`(0.024)/(100)y=18`

Solve for y, by cross multiplying

`\begin{gathered} (0.024)/(100)y=18 \\ 0.024y=18*100 \\ \text{Divide both sides by 0.024} \\ (0.024y)/(0.024)=(1800)/(0.024) \\ y=75000 \end{gathered}`

Hence, the number of radios inspected, y, is 75000