Mike is an event planner in charge of preparing food for large groups of people. He usually finds that he needs 6 potatoes for every 10 people. (6:10). He usually finds that he needs 5 heads of broccoli for every 12 people (5:12). He usually needs about 8 for every 50 people (8:50). In those proportions stay the same, how many of each will he need if his next event will have 225 people? show your work.