Question

44. 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?

Answer 1

I think it's 7 months

Answer 2

Answer: 7 months

Step-by-step explanation:

Let the number of months be x

If Bradley started with 23 bumper stickers and plans to add 4 each month.

Then the total stickers Bradley have = $23+4x$

If Ryan has 9 bumper stickers and plans to add 6 each month.

Then the total stickers Ryan have = $9+6x$

To find x such that they have the same number of bumper stickers, we have

$9+6x=23+4x\\\Rightarrow6x-4x=23-9\\\Rightarrow2x=14\\\Rightarrow\ x=\frac{14}{2}\\\Rightarrow\ x=7$

Hence, in 7 months  they will have the same number of bumper stickers.