(1) Solution: Suppose she is right about X and wrong (8-X).
10X-6(8-X)=64
10X-6×8=6X=64
16X=64+48
X=7
(2) Solution: Suppose he is right about X and wrong (10-X).
10X-6( 10-X)=36
10X-6× 10+6X=36
X=6
10-6=4 (Road)
(3) Solution: Suppose she got X right and wrong (16-X).
10X-6( 16-X)= 16
10X-6× 16+6X = 16
X=7
5. Solution: Suppose there are X groups in science and technology and (9-X) groups in art.
5X+3(9-X)=37
5X+3×9-3x=37
X=5
Science and technology category: 5×5=25 (person)
Art category: 37-25= 12 (person)