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 answer

Let x be the number of months it will take for Bradley and Ryan to have the same number of bumper stickers.

Bradley's total number of bumper stickers after x months can be represented as:
23 + 4x

Ryan's total number of bumper stickers after x months can be represented as:
9 + 6x

Setting the two expressions equal to each other and solving for x:
23 + 4x = 9 + 6x
14 = 2x
x = 7

After 7 months, Bradley and Ryan will have the same number of bumper stickers.