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Hello, Smoke Dust:

Solution: Let a man be X, a woman be Y and a child be Z.

According to the meaning of the question

x+y+z=30

Because * * * spent 50 shillings, each man spent 3 shillings, each woman spent 2 shillings, and each child spent 1 shilling.

Get 3x+2y+ 1z=50.

That is, solving binary linear equations:

x+y+z=30

3x+2y+ 1z=50

By using the exhaustive method, we can get

x y z

1 18 1 1

2 16 12

3 14 13

4 12 14

5 10 15

6 8 16

7 6 17

8 4 18

9 2 19

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