In a cookie mix we find rain cookies, walnut cookies and pinwheel cookies in a ratio of 2: 3: 7. if a bag of the mix contains 112pinwheel cookies how many cookies are there in total

It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.
So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin
3 x 16 = 48 = Walnut
Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel
32 : 48 : 112

Hope this helps! :)