In a Quiz Bee Contest, in easy round a correct answer is worth 2 points while in difficult is worth 5 points. If there’ s a total of 25 question and the maximum points that they can earn is 86. How many questions are there in easy round and difficult round?
e = questions in in easy round
d = questions in in difficult round
There’ s a total of 25 question means:
e + d = 25
In easy round a correct answer is worth 2 points while in difficult is worth 5, and in and the maximum points that they can earn is 86 means:
2 e + 5 d = 86
Now you must solve system of two equation:
e + d = 25
2 e + 5 d = 86
___________
Try to solve it.
The solution is:
e = 13 , d = 12
Check results:
e + d = 13 + 12 = 25
2 e + 5 d = 2 ∙ 13 + 12 ∙ 5 = 26 + 60 = 86