# Question #eb036

##### 2 Answers

We have 2 pieces of information that will give a pair of simultaneous equations to solve. First, take c to be the number of chocolate cookies and take r to be the number of raisin cookies.

We are told that the total number of cookies made is 168, so it will follow that:

We are also told that there are 22 more chocolate cookies so their difference is 22:

To use substitution, rearrange the 2nd equation to get c on one side:

Now we can replace

Rearrange this to obtain

So there are 73 raisin cookies. Now going back to the simultaneous equations, we now have a value for

Hence there 95 chocolate cookies and 73 raisin cookies.

**Define your variables:**

Let

#### Explanation:

Then we know two things:

(1)

(2)

**Substituton**

We may now replace (substitute) the number

**Conclusion:**

So he made

And

**Check your result:**