Greg currently has 30 and receives a new one every 4 months. As a competition, Mark wants to start collecting ties as well. He buys a tie every month until he has the same amount as Greg. How many months until Mark has the same amount? How many ties are there? Hint: use one variable for “# of months” and one for “# of ties”.

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  40 months

Step-by-step explanation:

Let t represent the number of months. Then Greg's tie count (g) will be ...

  g = 30 + t/4 . . . . . . average rate of tie accumulation is 1/4 tie per month

And Mark's time count (m) will be ...

  m = t . . . . . . . . . . . . average rate of tie accumulation is 1 per month

We want these numbers (g, m) to be equal:

  g = m

  30 +t/4 = t . . . . . substitute the equivalent expressions

  30 = 3/4t . . . . . . subtract t/4

  40 = t . . . . . . . . . multiply by 4/3

After 40 months, Mark and Greg will have the same amount of ties.

incomplete question. how do you expect anyone to you when you do not post the question in its entirety?