Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each. The salesman told her that she saved a total of $96.16. If Brittany saved the same amount on each tire, what was the original price of each tire?

Let's calculate the total savings: $96.16 / 4 = $<<96.16/4=24.04>>24.04.

So Brittany originally paid $85.95 + $24.04 = $<<85.95+24.04=109.99>>109.99 for each tire. Answer: \boxed{109.99}.

To find the original price of each tire, we need to subtract the total savings from the sale price.

Let's denote the original price of each tire as 'x'.

The sale price of each tire is $85.95, and Brittany saved $96.16 on each tire. So, the equation becomes:

x - $96.16 = $85.95

To isolate the variable 'x' on one side of the equation, we add $96.16 to both sides:

x = $85.95 + $96.16

x = $182.11

Therefore, the original price of each tire was $182.11.