First, find all the factors of the two numbers (separately): <span>72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72 </span>48: <span>1, 2, 3, 4, 6, 8, 12, 16, 24, 48 The numbers in bold are factors of both 72 and 48. Find the greatest one (out of the numbers in bold). 24 is the GCF.</span>
You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.
The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:
3M + 8V = 55
The second month: 5 movies, 2 video games, $18. Translated: