Let's use **K** as the cost of a bag of **kisses** and **G** as the cost of a bag of **gummi bears**.

It looks like we have two separate equations:

4K + 5G = $40.25 (for Sugar Addict #1)

3K + 2G = $21.00 (for Sugar Addict #2)

We need to cancel out one of those variables.

I'm going to cancel out the G by turning the 5G into a 10G and the 2G into -10G

Let's **multiply** both sides of the **first equation** by **2** and **multiply** both sides of the **second equation** by **-5**

**2**(4K + 5G)= **2**(40.25)

**-5**(3K + 2G) = **-5**(21.00)

So now we have

8K + 10G = 80.50

-15K - 10G = -105.00

If we add the two equations together we have

8K ~~+ 10G~~ = 80.50

__-15K ____- 10G____ = -105.00__

-7K = -24.50 Then divide both sides by -7

**K = $3.50**

We can now plug this into one of our original equations. I'm using the second equation

3(**3.50**) + 2G = 21.00

10.50 + 2G = 21.00 Now subtract 10.50 from both sides

2G = 10.50 Finally, divide both sides by 2

**G = $5.25**

**So the cost of a bag of chocolate kisses is $3.50 and a bag of gummi bears is $5.25**

Let me know if you would like to schedule an online lesson to cover any other topics you may need.