Points W, X, Y, and Z lie on a line in that order. If WZ/WY= 2/1 and WZ/WX= 3/1, what is the value of WY/XZ?
A. 1/3
B. 1/2
C. 2/3
D. 3/4
E. 4/5
Problems like this one utilize ratios of points on lines, so we must use a least common denominator to connect values. The ratios are 1/2 and 1/3, so the least common denominator is 6. Thus we give point Z the value of 6. Y would be halfway so it would be given a value of 3. X is a third of the way, so it has a value of 2. The distance between W and Y would be 3. The distance between X and Z would be 4. Hence the ratio is 3/4.