Tom has a collection of 27 CDs and Nita has a collection of 18 CDs. Tom is adding 3 CDs a month to his collection while Nita is adding 6 CDs a month to her collection. Write and graph a system to find the number of months after which they will have the same number of CDs. Let x represent the number of months and y the number of CDs.

Question
Asked Mar 11, 2019
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Tom has a collection of 27 CDs and Nita has a collection of 18 CDs. Tom is adding 3 CDs a month to his collection while Nita is adding 6 CDs a month to her collection. Write and graph a system to find the number of months after which they will have the same number of CDs. Let x represent the number of months and y the number of CDs.

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Expert Answer

Step 1

We have given,

Number of CDs collected by Tom = 27 CDs

Number of CDs collected by Nita = 18 CDs

Step 2

Let the x represent the number of month and y represent the number of CDs

Tom is adding 3 CDs a month to his collection while Nita is adding 6 CDs a month to her collection.

According to problem, we can make equations as:

For Tom, total number of CDs , y = 27 + 3x

For Nita, total number of CDs , y = 18 + 6x

Step 3

We need to find number of month when number of Tom’s CDs collection is equal to Nita’s CDs collection

i.e...

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Math

Algebra

Equations and In-equations