Answer:
C. Brian and Damien both answered 2 more questions correctly than Chris did.
Step-by-step explanation:
A. Brian and Damien both answered 2 fewer questions correctly than Chris did.
B. Brian and Damien both answered 4 more questions correctly than Chris did.
C. Brian and Damien both answered 2 more questions correctly than Chris did.
D. Brian and Damien both answered 4 fewer questions correctly than Chris did.
Let
B = number of questions Brian got right
C = number of questions Chris got right
D = number of questions Damien got right
The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right.
B = 14 + (1/4) * C
Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly.
D = (5/4) C - 2
If Brian and Damien have the same score,
14 + (1/4) * C = (5/4) C - 2
14 + 1/4C = 5/4C - 2
14 + 2 = 5/4C - 1/4C
16 = 5C-C/4
16 = 4/4C
C = 16
B = 14 + (1/4) * C
= 14 + 1/4*16
= 14 + 4
= 18
D = (5/4) C - 2
= 5/4*16 - 2
= 5*4 - 2
= 20 - 2
= 18
