Question

For every part produced by a factory, there are 5 ounces of scrap aluminum that can be recycled. There are16 ounces in 1 pound and 2,000 pounds in 1 ton. How many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

Answer 1

6,400

Step-by-step explanation

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Answer 2

The factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.

Explanation:

1 part produced ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1 : 5 .... (a)

Let us assume for m parts produced , 1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces) = 32,000 ounces

So, for m parts made in the factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium = m : 32,000 .... (b)

From both the given ratio, we get

1 : 5 = m : 32,000

or,
`(1)/(5)  = (m)/(32,000)  \implies m = (32,000)/(5)  = 6,400`

⇒ m = 6,400

Hence, the factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.