Question

44. 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?

Answer 1

i think it's 7 months

Answer 2

Answer: 7 months

Explanation:

Let the number of months be x

If Bradley started with 23 bumper stickers and plans to add 4 each month.

Then the total stickers Bradley have =
`23+4x`

If Ryan has 9 bumper stickers and plans to add 6 each month.

Then the total stickers Ryan have =
`9+6x`

To find x such that they have the same number of bumper stickers, we have

`9+6x=23+4x\\\Rightarrow6x-4x=23-9\\\Rightarrow2x=14\\\Rightarrow\ x=(14)/(2)\\\Rightarrow\ x=7`

Hence, in 7 months they will have the same number of bumper stickers.