The master and the apprentice process the same amount of the same machine parts at the same time. When the master processes half of the parts, there are 102 apprentices left. When the master finishes, the master will finish The ratio is 5:4! (explain with formula)

The master and the apprentice process the same amount of the same machine parts at the same time. When the master processes half of the parts, there are 102 apprentices left. When the master finishes, the master will finish The ratio is 5:4! (explain with formula)

102 / (1 - 1/2 * 4/5) = 170

The master and the apprentice process the same amount of machine parts at the same time
When the master finishes, the ratio of the number of parts processed by the master and the apprentice is 5:4. How many parts does each master and apprentice need to process?

Half finished by master, half finished by apprentice = (1 / 2) × (4 / 5) = 2 / 5;
So apprentice surplus = 1-2 / 5 = 3 / 5;
So the total number is = 102 (3 / 5) = 34 × 5 = 170
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The master and the apprentice process the same amount of the same machine parts at the same time. When the master completes 50%, there are 102 unfinished apprentices left. When the master completes the task, the apprentice will finish the task,
The ratio of the number of parts processed by master and apprentice is 5:4?

102÷﹙1-1/2×4/5﹚=170
170×4/5=136