Mathematics
: asked on babas97

15.12.2022

(b) The equation j k − = + 18 18models the scenario after Kirk wins the game. Explain why.

(c) Determine how many chips both Kirk and Jim started with.

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24.06.2023, solved by verified expert

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(c) Jim initially had 48; Kirk initially had 12

Step-by-step explanation:

Given

Solving (a): An equation for the amount they originally had.

From the question, we understand that j is 4 times as many as k.

Mathematically, this is:

Solving (b): Equation after Kirk wins

Initially Kirk had k.

To get the new expression, we add 18 to k.

This gives: 18 + k

In the same vein, Jim's number of chirps will reduce by 18.

Initially, Jim had j chirps (or 4k chirps)

To get the new expression, we subtract 18 from j.

This gives: j - 18

So, the equation is:

Solving (c): Number of chirps they started with.

In (b), we have:

Substitute 4k for j

Collect Like Terms

Divide both sides by 3

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