Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

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

36 is the final answer! : )

the balance is found at the link

step-by-step explanation: