Let's break down the cost of 3 cases of paintbrushes when the supplier reduces the price of each case by 10 percent:
Cost of 1 case of paintbrushes = Original price per case
Cost of 2 cases of paintbrushes = 2 * (Original price per case) - 10% discount on each case
Cost of 3 cases of paintbrushes = 3 * (Original price per case) - 10% discount on each case
Let's assume the original price per case of paintbrushes is $X.
Cost of 1 case = $X
Cost of 2 cases = 2 * $X - 0.10 * 2 * $X = 2 * $X - 0.20 * $X = $X (1 - 0.20) = $X * 0.80
Cost of 3 cases = 3 * $X - 0.10 * 3 * $X = 3 * $X - 0.30 * $X = $X (1 - 0.30) = $X * 0.70
Now, let's calculate the cost of 3 cases of paintbrushes and the cost per brush:
Cost of 3 cases = $X * 0.70 (as calculated above)
To find the cost per brush, we also need to know how many brushes are in each case. Let's assume there are N brushes in each case.
Cost per brush = (Cost of 3 cases) / (Total number of brushes in 3 cases)
Cost per brush = ($X * 0.70) / (3 * N)
So, the cost of 3 cases of paintbrushes is $X * 0.70, and the cost per brush is ($X * 0.70) / (3 * N).
Please provide the value of X (the original price per case) and the number of brushes in each case (N) to calculate the exact cost per brush.