Answer:
11 months
Step-by-step explanation:
The initial number of baseball cards that Chris has is 20.
This is like the first term of a sequence.
If Chris is adding 3 baseball cards per month, then there will be a constant difference of 3.
The number of baseball cards after months is given by the formula;
where
Similarly, Kyle initially has 40 baseball cards and adds one base ball card per month to his collection;
The number of his baseball cards after months is given by the formula;
To determine the number of months that will pass before Kyle and Chris have the same number of base ball cards, we equate both equations to get;
We group like terms to get;
Therefore Chris and Kyle will have the same number of baseball cards after 11 months.