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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

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Answer:

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

Step-by-step 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, [tex]\frac{1}{5}  = \frac{m}{32,000}  \implies m = \frac{32,000}{5}  = 6,400[/tex]

⇒ m = 6,400

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

Answer:

6,400

Step-by-step explanation

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