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?

Question

(1 point)
Responses

10 months
10 months

2 months
2 months

7 months
7 months

51 months
51 months

Answer 1

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.