Tine and Kassy spent $225 on a shopping spree, buying items with prime numbers whose digits sum to 5. The unique combination fulfilling these conditions is $23, $32, and $14, with each digit from 1 to 9 used exactly once among the prices.
To solve this problem, let's consider the prime numbers whose digits sum to 5 and whose digits include each number from 1 to 9 exactly once.
The prime numbers whose digits sum to 5 and contain distinct digits are limited. We can find three such numbers: 23, 32, and 14. The sum of digits in each of these numbers is 5.
Now, we can consider the different combinations of these prime numbers to form unique three-item sets whose sum is $225.
23 + 32 + 14 = $69
23 + 14 + 32 = $69
32 + 23 + 14 = $69
32 + 14 + 23 = $69
14 + 23 + 32 = $69
14 + 32 + 23 = $69
The unique combination is 23 + 32 + 14 = $69, where each digit from 1 to 9 is used exactly once.
Therefore, the values of the three items are $23, $32, and $14.