3.6k views
0 votes
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

User Kien Chu
by
8.1k points

2 Answers

2 votes

Answer:

6,400

Step-by-step explanation

if im late then my bad, how ya'll day going? and Byeee, i'm at school ;)

User MikeAr
by
8.0k points
2 votes

Answer:

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.

User Tom Troughton
by
8.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories