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?

Answer 1

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