at one factory the ratio of defective light bulbs produced to total light bulbs produced is about 3:500. how many light bulbs are expected to be defective when 12,000 are produced

Respuesta :

3/500 = x/12,000...3 defective to 500 made = x defective to 12,000 made
cross multiply
(500)(x) = (3)(12,000)
500x = 36,000
x = 36,000/500
x = 72...there will be 72 defective if 12,000 are produced

Answer:72 bulbs

Step-by-step explanation:

Given

Ratio of defective light bulbs produced to total light bulbs produced is about

3:500

that is if 503 bulbs are manufactured then 3 are defective

let x be the non-defective bulbs in 12000 bulbs

defective bulbs=[tex]x\times \frac{3}{500}[/tex]

therefore

12000=Non-defective +defective

[tex]12000=x+x\times \frac{3}{500}[/tex]

[tex]12000=\frac{503}{500}\times x[/tex]

[tex]x=11,928.42\approx 11,928[/tex]

Therefore Defective bulbs =12000-11928=72 bulbs