Question

In a cookie mix, we find oatmeal cookies,

raisin cookies, and butter cookies in a ratio
of 5:1:3. If a bag of the mix contains 60
butter cookies, how many cookies in total
are there?

Answer 1

100 : 20 : 60 Making the total number of cookies 180

Explanation:

Looking at the basic information given we know:

If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.

So, we have equations like this:

`r = 1/3b` and
`o = 5/3b`

So, if we plug in 60 for butter cookies we will have something like this:

`o : r : 60` or
`(5/3b) : (1/3b) : b` where b=60

Solving:

`(5/3b) : (1/3b) : b`

`(5/3b) : (1/3b) : 60\\100 : 20 : 60`

Then add the amounts of together to get 180.

I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.