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?

Answer 1

Answer: only true statement is ---The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right

Step-by-step explanation:

Let Brain and Damien both scored x while Chris scored y then

According to the first relation

$x=\frac{y}{4}+14$

where x and y are less than or equal to 20 .

For y=20 , x=19     possible value

According to the second relation

$x=y\times \frac{5}{4}-2$

where x and y are less than or equal to 20 .

For y=20 , x= 23 not possible

so only true statement is ---The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right