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 point)
Responses
10 months
10 months
2 months
2 months
7 months
7 months
51 months
51 months
To solve this problem, we need to set up an equation to determine when Bradley and Ryan will have the same number of bumper stickers.
Let x be the number of months.
Bradley will have 23 + 4x bumper stickers.
Ryan will have 9 + 6x bumper stickers.
We need to find when these two expressions are equal.
23 + 4x = 9 + 6x
To solve for x, we can subtract 9 from both sides of the equation:
14 + 4x = 6x
Next, subtract 4x from both sides of the equation:
14 = 2x
Divide both sides of the equation by 2:
7 = x
Therefore, after 7 months, Bradley and Ryan will have the same number of bumper stickers.