Question

If a car factory checks 320 cars and 12 of them have defects, how many out of 560 will have defects? Use proportions

Answer 1

Total number number of cars which do not have defects = 539

and 21 are defected out of 560 i.e. 560 - 539 = 21

Explanation:

Total cars checked by Car factory = 320

Number of defected cars = 12

The number of cars which do not have defects = 320 - 12 = 308

Total Number of cars = 560

So the equation becomes

`\left[560\:* \:308\right]\:/ \:320`

⇒
`(560* \:308)/(320)`

`\mathrm{Multiply\:the\:numbers:}\:560* \:308=172480`

⇒
`(172480)/(320)`

`\mathrm{Divide\:the\:numbers:}\:(172480)/(320)=539`

⇒
`539`

Therefore, total number number of cars which do not have defects = 539

and 21 are defected out of 560 i.e. 560 - 539 = 21