Joelle currently has 18 rocks in her collection and gains 4 each week. Lewis currently has 30 rocks in his collection and gains 3 each week. Set up a system of equations to show how many rocks each has in their collection.

Question

After how many weeks will Joelle and Lewis have the same number of rocks in their collections?

Answer 1

Let t represent the number of weeks.
For Joelle:
rock count = 18 + 4t
For Lewis:
rock count = 30 + 3t

To find when they have the same number of rocks:
18 + 4t = 30 + 3t

Answer 2

i dont understan

Answer 3

I apologize for the confusion. Let's break it down step by step.

1) We have two different people, Joelle and Lewis.
2) Joelle currently has 18 rocks in her collection, and she gains 4 rocks each week. So, after t weeks, she will have 18 + 4t rocks in her collection.
3) Lewis currently has 30 rocks in his collection, and he gains 3 rocks each week. So, after t weeks, he will have 30 + 3t rocks in his collection.

Now, we want to find when Joelle and Lewis have the same number of rocks in their collections. In other words, we want to find the value of t when the number of rocks for Joelle (18 + 4t) is equal to the number of rocks for Lewis (30 + 3t).

So, we can set up the equation:
18 + 4t = 30 + 3t

Now, we can solve this equation to find the value of t when Joelle and Lewis have the same number of rocks.