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

16 months

7 months

4 months

Answer 1

Let's set up an equation to solve for the number of months it will take for Bradley and Ryan to have the same number of bumper stickers.

Let m represent the number of months.

Bradley: 23 + 4m
Ryan: 9 + 6m

Now, we can set these two expressions equal to each other and solve for m:

23 + 4m = 9 + 6m

Subtract 4m from both sides:

23 = 9 + 2m

Subtract 9 from both sides:

14 = 2m

Divide both sides by 2:

7 = m

Therefore, it will take 7 months for Bradley and Ryan to have the same number of bumper stickers.