Question

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right. Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true? Brian and Damien both answered 2 fewer questions correctly than Chris did. Brian and Damien both answered 4 more questions correctly than Chris did. Brian and Damien both answered 2 more questions correctly than Chris did. Brian and Damien both answered 4 fewer questions correctly than Chris did.

Answer 1

B = 1/4c + 14
d = 5/4c - 2
b = d

1/4c + 14 = 5/4c - 2 ....multiply by 4
c + 56 = 5c - 8
56 + 8 = 5c - c
64 = 4c
64/4 = c
16 = c <== Chris

b = 1/4c + 14.....b = 1/4(16) + 14.....b = 4 + 14....b = 18 <== Brian
d = 5/4c - 2....d = 5/4(16) - 2.....d = 20 - 2.....d = 18 <== Damien

solution : Brain and Damien answered 2 more questions correctly then Chris did. <===