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A math problem in grade six
On a long stick, there are three kinds of tick marks. The first tick marks divide the stick into 10, the second tick marks divide the stick into 12, and the third tick marks divide the stick into 15. If the stick is sawed off along each scale line, how many sections will the stick be sawed into?

The length of the stick must be a multiple of 60 (because it can be divisible by 10, 12, 15), and 60m is used to represent the length of the stick.

X, y, z Y, z represent the unit length of the stick divided into 10, 12, 15 respectively.

Find out the number of repeated tick marks when x, y, z, y and z are combined respectively, and subtract them from the total to get the result.

It is easy to know that the number of repeated scales of X and Y is 2, that of X and Z is 5, and that of Y and Z is 3. Because if you subtract 60m, the result is 28.