Bradley and Ryan are having a contest to see who can collect the most bumper stickers. Bradley started with 23 bumper stickers and plans to add 4 each month. Ryan has 9 bumper stickers and plans to add 6 each month. After how many months will they have the same number of bumper stickers?
1 10 months
2 2 months
3 7 months
4 51 months
The number of bumper stickers Bradley will have after m months is given by 23 + 4m.
The number of bumper stickers Ryan will have after m months is given by 9 + 6m.
We need to find the value of m for which these two expressions are equal:
23 + 4m = 9 + 6m
Subtracting 4m from both sides, we get:
23 = 9 + 2m
Subtracting 9 from both sides, we get:
14 = 2m
Dividing both sides by 2, we get:
7 = m
Therefore, they will have the same number of bumper stickers after 7 months. Answer: \boxed{3}.