Lauren had the same number of red, green and blue beads at first. After giving away $112$ blue beads and some red and green beads, Lauren had $$350$$ beads left. There were $$2$$ times as many red beads as green beads left. The number of blue beads left was $$50$$ fewer than the number of red beads left. How many blue beads did she have at first? 
Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference