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Arisa [49]
3 years ago
5

Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is a

dding 5 CDs a month to her collection. Find the number of months after which they will have the same number of CDs. show your work
Mathematics
2 answers:
timurjin [86]3 years ago
7 0

Answer:

3 months.

Step-by-step explanation:

Let x represent the number of months.

We have been given that Tom has a collection of 30 CDs and he is adding 1 CD a month to his collection.

So number of CDs in Tom's collection after x months would be: 30+x.

We are also told that Nita has a collection of 18 CDs. Nita is adding 5 CDs a month to her collection. So number of CDs in Nita's collection after x months would be: 18+5x.

To solve for number of months, when both will have same number of CDs, we will equate both expressions as:

18+5x=30+x

18+5x-x=30+x-x

18+4x=30

18-18+4x=30-18

4x=12

\frac{4x}{4}=\frac{12}{4}

x=3

Therefore, after 3 months they will have the same number of CDs.

GrogVix [38]3 years ago
6 0
30:18,
31:23
32:28
33:33
It will be three months before they have the same amount of CDs
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