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Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to hiscollection while Nita is adding 5 CDs a month a to her collection. Find the number of months after which they will have the same number of CDs. (Solve Algebraically)

 Jul 30, 2021
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Here are two ways:

 

30-18 = 12 difference

rate of closure   5-1 = 4 cd's per month

12/4 = 3 months

 

30 + 1 x   =  18 + 5x

12 = 4x

x = 3 months

 Jul 30, 2021

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