Kevin and Jesse like to play video games. They play a total of 11 hours everyday. Jesse plays 2 hours more than half the hours that Kevin plays. How many hours do each of the boys play video games each day? Use system of equations to solve the problem.
Responses
A Jesse plays for 6 hours and Kevin plays for 5 hours.Jesse plays for 6 hours and Kevin plays for 5 hours.
B Jesse plays for 8 hours and Kevin plays for 4 hours.Jesse plays for 8 hours and Kevin plays for 4 hours.
C Jesse plays for 4 hours and Kevin plays for 8 hours.Jesse plays for 4 hours and Kevin plays for 8 hours.
D Jesse plays for 5 hours and Kevin plays for 6 hours.Jesse plays for 5 hours and Kevin plays for 6 hours.
Let's say Kevin plays for x hours.
Jesse plays for (x/2 + 2) hours.
Their total playing hours are x + (x/2 + 2) = 11.
Combining like terms, we get (3/2)x + 2 = 11.
Subtracting 2 from both sides, we get (3/2)x = 9.
Multiplying both sides by 2/3, we get x = 6.
So Kevin plays for 6 hours and Jesse plays for (6/2 + 2) = 5 hours.
Therefore, the answer is option D.