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Mathematics in senior one. Solve equations in one yuan at a time. Thank you.
Solution: (1) Suppose that it takes y 1 yuan to buy according to preferential method ① and y2 yuan to buy according to preferential method ②.

y 1=(x﹣4)×5+20×4=5x+60,y2=(5x+20×4)×0.9=4.5x+72.

(2) let y 1=y2, ∴ when x=24, the cost of purchasing by two preferential ways is as much;

(3) Because we need to buy 4 schoolbags and 12 water-based pens, and 12 < 24,

Purchase Scheme 1: Preferential method ① Purchase requires 5x+60 = 5x12+60 =120 yuan;

Purchase scheme 2: two purchase methods are adopted, and the preferential method ① is to buy 4 schoolbags.

Need 4×20=80 yuan, and get 4 water-based pens at the same time;

Using the preferential method ② to buy 8 water-based pens, it takes 8×5×90%=36 yuan.

* * * Cost 80+36= 1 16 yuan. Obviously, 1 16 < 120.