In the first year of a school, there were 116 students who took mathematics and science.They all passed at least one subject and 34 passed both subjects. If twice as many passed Science as passed mathematics, find how many passed in mathematics only. Represent the information on a venn diagram.

If x passed math, then 2x passed science

3x-34 = 116
x = 50
so
50-34 = 16 passed only math
100-34 = 66 passed only science