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Alex787 [66]
2 years ago
5

The recyclables have been sorted into plastic and glass. The number of plastic items is 30 less than nine times the number of gl

ass items. The recyclables are 85% plastic. How many glass items are there?
PLEASE HELP ASAP
Mathematics
1 answer:
Colt1911 [192]2 years ago
6 0

Answer:

  B,  9

Step-by-step explanation:

Let g represent the number of glass items. Then the number of plastic items is (9g -30). If 85% of items are plastic, then 100%-85% = 15% of items are glass. The ratio of plastic to glass is ...

  85%/15% = (9g -30)/g

  17/3 = 9 -30/g . . . . simplify

  30/g = 9 -17/3 = 10/3 . . . . . . add 30/g -17/3

  g = 30(3/10) = 9 . . . . . . . . . . multiply by 3g/10

There are 9 glass items.

_____

<em>Additional comment</em>

The number of plastic items is 9(9) -30 = 51, and the total number of items is 51+9 = 60. The percentage of plastic items is 51/60 = 85%.

__

There are many other ways the equation(s) could be written, including using a system of two equations. For example ...

  • p = 9g -30
  • p/(p+g) = 0.85 . . . . . plastic is 85% of the total

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