Hints for the Language Venn Diagram.

From the first and fifth statement, I have filled in the above numbers.

The second statement gives: d + e + f + 4 = 48

The third statement gives two different equations: d = 2 e and d = 4 (4) = 16

The fourth statement gives: a + b + d + 4 = 124

The sixth statement gives: d = 4 + b

Remember that the total number of students is 208