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>
Lets have 4x acres of soybeans , then it is going to be 9x acres of corn (4x/9x=4/9) Altogether we have (4x+9x) acres Altogether he planted 400 acres So, we can write 4x+9x=400 13x=400 x=400/13
4x acres of soybeans 4*400/13≈123 acres of soybeans