Thank you for using the site. I'll be happy to help you with this. It will take a bit of time to work out the solution and explain it. I will get it posted for you as quickly as I can.
The only problem I see on my end is the one about the sum of the digits.
What is the "recipe question"?
OK, got it.
I'm not sure. With the first problem, each step gets longer than the previous one as there are more possibilities. (You'll see what I mean when you see the solution.)
Perhaps something like that. I'm on the last part of the first problem, and then I need to check the answer using something like Excel just to be sure that I didn't miss a combination.
For the recipe problem, I can see how she can adjust the recipe, but I'm not completely sure how your class expects you to approach this. Do you have a similar problem as an example?
Ok. What level class is this for?
Here is the solution for the digits problem:
Please feel free to ask if you have any questions about this solution.
I'll get a response for the recipe problem written up and posted for you. That one won't take as long.
Here is a response for the recipe problem.
I hope that this is at least close to what your instructor is looking for. If you get any feedback about it, please feel free to return here and let me know. I'll do what I can to make any necessary adjustments.
You're quite welcome.