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Selection of Mathematics Scheme for Grade One in Junior High School
A home appliance city plans to allocate 90,000 yuan to buy 50 TVs from manufacturers. It is understood that the ex-factory price of three kinds of TV sets produced by this factory is 1500 yuan/set, 2 1000 yuan/set for B and 2,500 yuan/set for C. ..

If you spend 90,000 yuan to buy 50 TV sets of three models at the same time, design the purchase plan.

Let a A, b, c, c=(50-a-b), right.

1500 a+2 100 b+2500(50-a-b)= 90000

Get 4b+ 10a=350.

Because both A and B are integers within 50, the unit of product of 10a is 0.

Therefore, the product unit number of 4b must also be 0, so it can be obtained

Scheme 1, b=0, a=35, c= 15.

Scheme 2, b=5, a=33 and c= 12.

Scheme 3: B = 10, A = 3:b= 10, c=9.

Scheme 4: B = 15, a=29 and c=6.

Option 5: b = 20, a=27 and c=3.

Scheme 6: b = 25, a=25 and c=0.

One ***6 schemes!