6th Grade Application of Algebraic Ideas in Number Theory: Problem 1

Problem: A factory needs to create a total of 50 of products A and B out of materials 1 and 2. Each product A uses 9 kilograms of material 1 and 3 kilograms of material 2. Each product B uses 4 kilograms of material 1 and 10 kilograms of material 2. The factory has limited resources from each material 1 and 2. It has 360 kilograms of material 1, and 290 kilograms of material 2. How many product As and Bs does it need to produce so that it does not exceed the limited resources they have but also meets the requirements?

Key: Translate the relationships given in the problem into relationships using mathematics (equivalences and inequalities)

Please consider subscribing, here's our website: https://inquisitivekids.github.io