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Mathematical answers to authoritative examination papers
Let's talk about genuine X units and defective Y units first.

y= 1/9*x

y+ 1=3/22*(x- 1)

X=45,y = 5;

A ***50 machine tool.

In fact, there is a simple way to solve this problem. Later, the quantity of genuine products must be a multiple of 22, because the quantity must be an integer.

The following genuine product plus one is the original number of genuine product, which must be a multiple of 9.

Take 22, 44 ... and find that 44 meets the requirements. Then, based on the next 44 cells, it can be calculated that there are 6 defective cells, and the total number of cells is 50.

There are other ways, so I won't say much. =