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I have a pouch with pens and pencils in it. At the moment, the ratio of pens to pencils is 3:5. If Phil gives me 3 pens in exchange for 9 of my pencils, I will have an equal number of pens and pencils. How many pens will that be?

 Sep 29, 2022
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P==Pens,       c==pencils

 

P / c == 3/5.....................(1)

[P + 3] / [c  - 9]==1.........(2), solve for P, c

 

P ==18 - original number of Pens

c ==30 - original number of pencils.

 

18 + 3 ==21 Pens

30 - 9 ==21 pencils

 Sep 29, 2022

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