AMC 10 Step by Step

2009 AMC 10BProblem 15P11-15~3 minPrint

Linear Equations & Word Problems Systems of Equations Set up the equation/formula and compute; no special trick needed Test small/specific values or special cases to find or verify the answer

When a bucket is two-thirds full of water, the bucket and water weigh $a$ kilograms. When the bucket is one-half full of water the total weight is $b$ kilograms. In terms of $a$ and $b$ , what is the total weight in kilograms when the bucket is full of water?