Ann and Billy both entered a quiz. The quiz had twenty questions and points were allocated as follows:
• p points were added for each correctly answered question.
• q points were deducted for each incorrect (or unanswered) question.

Ann got 15 questions correct and scored 65 points.
Billy got 11 questions correct and scored 37 points.

Use matrices to find the value of q?

Question

Ann and Billy both entered a quiz. The quiz had twenty questions and points were allocated as follows:
• p points were added for each correctly answered question.
• q points were deducted for each incorrect (or unanswered) question.

Ann got 15 questions correct and scored 65 points.
Billy got 11 questions correct and scored 37 points.

Use matrices to find the value of q?

gorv · Answer

ann

gorv · Answer

correct = 15
points =15*p=15p
wrong =5 
points = 5*q
so 
15p-5q=65

gorv · Answer

billy
correct=11
points=11p
wrong=9
points=9q
total
11p-9q=37

gorv · Answer

15p-5q=65
11p-9q=37
you have two equation now ..use matrix method and solve its simple now