Where can I learn and find out more about this problem?

I would be grateful to anyone who could help me with this assignment.

You have some number of recipes. Every recipe contains a list of ingredients and its result.

For example:

Recipes:

1. 4 Wood = 6 Stick

2. 2 Stick + 2 Stone = 1 Axe

Then you have list of items, that you need to make out of these recipes.

For example:

6 Axe

The goal is to print what ingredients do you need, to make the desired item.

For example:

For 6 Axe you would need 12 Stick + 12 Stone (Recipe 2). And you can make 12 Stick by using 8 Wood (Recipe 1).

So the output would be:

12 Stone
8 Wood

How can you do all of this? Sorry, I'm still learning and not experienced that much.

I want to find out more about solving problem like this.

What's the name of the algorithm for this? Do you have any links to forums about this?

I appreciate any help! Thank you in advance!