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.

after how many weeks will joelle and lewis have the same number of rocks in their collections

1 answer

Let "w" represent the number of weeks that have passed.

For Joelle:
The number of rocks in her collection after "w" weeks will be: 18 + 4w

For Lewis:
The number of rocks in his collection after "w" weeks will be: 30 + 3w

To find out after how many weeks they will have the same number of rocks in their collections, we can set up the following equation:

18 + 4w = 30 + 3w

Simplifying the equation:

w = 12

After 12 weeks, Joelle and Lewis will have the same number of rocks in their collections.