Answer to Question #233845 in Math for Captain

Question

In a school, 200 students have access to three software packages, A, B and C

56 did not use any software

16 used only packages A

52 used only packages B

14 used only packages C

20 used all three packages

26 used both A and B

1. Draw a Venn diagram with all sets enumerated as for as possible. Label the two subsets

which cannot be enumerated as x and y, in any order.

2. If twice as many students used package B as package A, write down a pair of simultaneous

equations in x and y.

3. Solve these equations to find x and y.

4. How many students used package C?

5. How many students used package B?