During the Dragon Boat Festival, the "charity group" of a school raised money for 1240 yuan, all of which were used to buy fruits and zongzi, and then went to the welfare home to give them to the elde

During the Dragon Boat Festival, the "charity group" of a school raised money for 1240 yuan, all of which were used to buy fruits and zongzi, and then went to the welfare home to give them to the elderly and decided to buy them. (1) Buy jujube zongzi at X yuan/box and ordinary zongzi at Y yuan/box.

According to the meaning of the question, x y= 152x+4y=300,

The solution is x = 60y = 45.

A: jujube zongzi 60 yuan/box, ordinary zongzi 45 yuan/box;

(2) (1) If you buy X boxes of jujube zongzi, you buy (20-x) boxes of ordinary zongzi, and it costs W yuan to buy fruit.

According to the meaning, w= 1240-60x-45(20-x),

= 1240-60x-900+45x，

=- 15x+340，

Therefore, the functional relationship between W and X is W =-15x+340;

② ∵ The amount required for purchasing fruits shall not be less than 180 yuan but not more than 240 yuan.

∴? 15x+340≥ 180①？ 15x+340≤240②，

Solve inequality ①, x≤ 1023,

If inequality ② is solved, x≥623,

So the solution set of inequality group is 623≤x≤ 1023.

∵x is a positive integer,

∴x=7、8、9、 10，

Possible schemes are:

Option 1: Buy 7 boxes of jujube zongzi and 13 boxes of ordinary zongzi.

Option 2: Buy 8 boxes of jujube zongzi and 12 boxes of ordinary zongzi.

Option 3: Buy 9 boxes of jujube zongzi, 1 1 box of ordinary zongzi.

Scheme 4: Buy 10 box of jujube zongzi and 10 box of ordinary zongzi;

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