Question

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 adding 5 CDs a month to her collection. Find the number of months after which they will have the same number of CDs.

Answer 1

@GreenCat

Answer 2

I tryed to figure this out and it seemed impossible

Answer 3

make 2 equations

Answer 4

Ok what 2 equations

Answer 5

Well I have to go but make cd as an axis and ime as other

Answer 6

Ok?

Answer 7

@campbell_st

Answer 8

well start by making t = the number of months

Tom starts with 30 and adds 1 per month

T(t) = t + 30 so after 1 month he has 31 2 months 32 etc

Nita starts wit 18 and adds 5 per month

N(t) = 5t + 18

so after 1 month she has 23, 2 months 28 etc...


does that make sense...?

so there are 2 ways to solve this.... extend each pattern until they are equal and find how many months it took or

algebraically, equating the 2 equations

t + 30 = 5t + 18

and solving for t.

hope it helps

Answer 9

Okay thanks