It is given that Lu hit x numbers of home run.
So, number of home run hit by Karinne is more home runs than 1/2 the number of home runs Lu hit.
So, number of home run Karinne hit is :

Also,

Solving above two equation, we get :
x + ( 4 + 0.5x ) = 10
1.5x + 4 = 10
1.5x = 6
x = 4
Therefore, number of home run hit by Lu is 4.
Hence, this is the required solution.