The final calculation determines how many fewer apples Beck has than Boris. This is found by subtracting Beck's final count (87) from Boris's final count (90), resulting in a difference of $90 - 87 = 3$ apples.

Step 4: Calculate the New Difference in Apples (Boris and Beck's Apples Problem)

After establishing Beck's initial count, the next step is to calculate his new total after receiving 10 apples from Boris. This is an addition to his starting amount of 77 apples: $77 + 10 = 87$ apples.

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Next, Beck's initial number of apples is determined. The problem states he has 23 fewer apples than Boris's starting amount of 100. Therefore, Beck begins with $100 - 23 = 77$ apples.

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