Coal is one of the main mineral resources in Panzhihua. Coal production enterprises need to calculate the cost of coal transportation to the coal users and include it into the enterprise production plan. A coal mine has 1000 tons of coal to be transported to plant a and plant B. through understanding, the relevant information of plant a and plant B is obtained as follows (the freight column "yuan / T · km" in the table indicates: the cost of one kilometer per ton of coal transportation (1) write the functional relationship between the total freight y (yuan) and the coal quantity x (T) transported to plant a, and write the value range of the independent variables; (2) please use the relevant knowledge of the function to design the transportation scheme with the least total freight for the coal mine, and Find out the least total freight (which can be expressed by algebraic formula with a)

Coal is one of the main mineral resources in Panzhihua. Coal production enterprises need to calculate the cost of coal transportation to the coal users and include it into the enterprise production plan. A coal mine has 1000 tons of coal to be transported to plant a and plant B. through understanding, the relevant information of plant a and plant B is obtained as follows (the freight column "yuan / T · km" in the table indicates: the cost of one kilometer per ton of coal transportation (1) write the functional relationship between the total freight y (yuan) and the coal quantity x (T) transported to plant a, and write the value range of the independent variables; (2) please use the relevant knowledge of the function to design the transportation scheme with the least total freight for the coal mine, and Find out the least total freight (which can be expressed by algebraic formula with a)


(1) According to the meaning of the problem: y = 200 × 0.45X + 150 × a × = 90x-150ax + 150000a = (90-150a) x + 150000a, according to the meaning of the problem: X ≤ 6001000-x ≤ 800, the solution: 200 ≤ x ≤ 600



There is a pile of coal in a coal mine. 72% of it is sold to factory a and factory B at a ratio of 5:3. Factory a bought 18 tons more than factory B. how many tons of coal is there in the pile


Suppose there are x tons of coal in this pile
According to the meaning of the title:
72/100X*5/8-72/100X*3/8=18
The solution is x = 100



There are 380 tons of coal in one yard


80x
380+80x
60x
1500-60x
380+80x=1500-60x
x=8



A power plant burns 18 tons of coal every day, and the coal can be stored for 50 days?
Solve by equation


18 × 50 = 900 (tons) 18 × (1-1 / 6) = 15 (tons) 900 △ 15 = 60 (days)



When a batch of coal is transported to the power plant, it is planned to use 300 tons a day and use it up in 12 days. In fact, 50 tons are saved every day. How many days is the actual use more than the plan


Set the actual time to use X days
300:(300-50)=x:12
6:5=x:12
x=12x6÷5
x=14.4
4-12 = 2.4 days
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There are 72 tons of coal in a and B piles. 4% of the coal in a pile has been transported, and 75% of the coal has been transported. The remaining coal is just the same. How many tons of coal are there in a and B piles


Let a be x, then B be 72-x
X/5=0.25(72-X)
The solution is x = 40
There are 40 tons of solid a and 32 tons of solid B



There are 72 tons of coal in pile a and pile B. pile a carries 4% of the coal and team B carries 75%. The remaining coal is exactly the same


Let a = a ton and B = B ton
a+b=72 ----1
(1-4/5)a=(1-75%)b -----2
After simplifying equation 2, bring it into equation 1, and solve equation a = 40 tons, B = 32 tons



There are 72 tons of coal in Jia Ji's two piles, of which 4 / 5 is transported by Jia Ji and 75% is transported by B. the rest is exactly the same?


Set: a original x tons of coal, B original (72-x) tons of coal
(1-4/5)x=(1-75%)*(72-x)
x=40
72-40 = 32 tons
Answer: a original 40 tons of coal, B original 32 tons of coal



The quality ratio of rice in warehouse A and warehouse B is 5:2. If 20% of the rice is taken from warehouse A and put into warehouse B, then the rice in warehouse A is 12 tons more than that in warehouse B. how many tons of rice are there in warehouse A and warehouse B?


5 ^ (5 + 2) = 57, 2 ^ (5 + 2) = 27, 12 ^ (57 − 57 × 20% − 27), = 12 ^ 17, = 84 (tons); 84 × 57 = 60 (tons); 84 × 27 = 24 (tons); answer: a warehouse has 60 tons of rice, B warehouse has 24 tons of rice



There are 107 tons of rice in warehouse A and warehouse B. If warehouse a transports 19 tons of rice and warehouse B transports 17 tons of rice, then warehouse B is twice as much as warehouse A. how many tons of rice do you have in each warehouse


Let a be x tons and B be y tons, then:
x+y=107 ❶
2 (X-19) = (y-17), that is, 2x-y = 21 & # 10103;
The solution is as follows
X = 128 / 3 (ton)
Y = 193 / 3 (ton)
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