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
16 months
7 months
4 months
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.