Final answer:
Luke attempted 57 free throws.
Step-by-step explanation:
To find the total number of free throws attempted by Luke, we need to determine what percentage of the total free throws Luke missed. We know that Luke missed 4% of his free throws, which means he made 96% of them. Let's set up an equation:
x * 0.96 = 54
Where x represents the total number of free throws Luke attempted. To solve for x, we divide both sides of the equation by 0.96:
x = 54 / 0.96 = 56.25
Since we can't have a fraction of a free throw, we can round up to the nearest whole number. Therefore, Luke attempted 57 free throws.