Question

Joel currently has 18 rocks in her collection and games for each week. Louis currently has 30 rocks in his collection and games three each week set up a system of equations to show how many rocks each has in their collection.

Answers

GPT 3.5
Let's use the variables J for Joel's number of rocks and L for Louis' number of rocks.

According to the problem, Joel currently has 18 rocks in her collection. Therefore, we can write the equation:

J = 18.

Similarly, Louis currently has 30 rocks in his collection. Therefore, we can write the equation:

L = 30.

Now, let's consider the number of games each person plays each week. It is mentioned that Joel games for each week, but it's not clear if it is the number of games or the number of rocks he gains each week. We'll assume it is the number of rocks, as follows:

Each week, Joel's collection increases by the number of games. Therefore we can write the equation:

J + games = new number of rocks in Joel's collection.

On the other hand, Louis games three each week. We can write the equation:

L + 3 = new number of rocks in Louis' collection.

Please note that we don't have enough information to know the exact values of "games" or the new numbers of rocks in their collections.

In summary, the system of equations would be:

J = 18,
L = 30,
J + games = new number of rocks in Joel's collection,
L + 3 = new number of rocks in Louis' collection.

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