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Primary school mathematics problems (solved at the primary school level)
1. The employees of a company account for five-thirds of the sales department. When the production department transfers 14 people to the sales department, the employee ratio of the production department and the sales department is 1: 2. How many employees are there in the production department?

Solution: If the production department has x employees, then the sales department has 2x employees. (This is because the ratio of employees in the production department and the sales department is 1: 2. )

Then because the production department transferred 14 people to the sales department, there were (2x- 14) people in the sales department.

Because a company's employees account for five-thirds of the sales department,

So the equation (2x- 14)/3x=3/5 can be listed.

X of the solution = 70

A: Now there are 70 employees in the production department.

2. The walking speed ratio of Party A and Party B is 13: 1 1. If Party A and Party B leave from AB at the same time and take opposite directions, they will meet in 2.5 hours. If they go in the same direction, how many hours will it take Party A to catch up with Party B?

Solution: Let the speed of A be 13x, then the speed of B is11x.

The whole distance is (13x+11x) * 2.5.

The speed difference between them is13x-11x.

Then it takes [(13x+11x) * 2.5]/(13x-1x) for A to catch up with B.

Then x can be eliminated, which is directly 2.5 * (11+13)/(13-1) = 30.

A: It will take 30 hours for A to catch up with B.

3. A city collects the monthly gas fee according to the following provisions. The part within 60 cubic meters of household gas is charged at 0.8 yuan per cubic meter, and the part exceeding 60 cubic meters is charged at 1.2 yuan per cubic meter. Wang paid the 60 yuan gas bill last month. How many cubic meters of gas did his family use last month?

Solution: Because 0.8*60=48 yuan, and Wang paid the 60 yuan gas bill last month, there must be more than 60.

Then the excess is 60-48= 12 yuan.

It is also said that the part exceeding 60 cubic meters is charged at 1.2 yuan per cubic meter, so it exceeds 12/ 1.2= 10 cubic meter.

So the total * * * is 60+ 10=70 cubic meters.

His family used 70 cubic meters of gas last month.

Grandpa Wang bought a batch of apples at the price of 0.8 yuan per kilogram. After selection, he divided the apples into A and B. The mass ratio of A and B was 3: 5, and B could only be sold at the price of 0.7 yuan. If grandpa Wang wants to make a profit of 25%, how much is the A-class apple per kilogram?

Solution: Let the mass of A be 3x, then the mass of B is 5x.

Grandpa Wang bought 0.8 yuan (3x+5x).

If you want to make a profit of 25%, you need [0.8 (3x+5x)] * (1+25%) = (3x+5x) yuan.

B It can only be sold at the price of 0.7 yuan, that is, 5x*0.7 yuan.

Then Grade A is [(3x+5x)-5x*0.7]/3x.

As shown above, x can eliminate [(3+5)-5*0.7]/3= 1.5 yuan.

A: First-class apples are per kilogram 1.5 yuan.

It takes 6 hours for the bus to complete the journey from A to B.. The ratio of car B's speed to car A's speed is 4: 5, and car B's speed is 50 kilometers per hour. How many kilometers is the whole journey from A to B?

Solution: The speed ratio of car B to car A is 4: 5, and car B travels 50 kilometers per hour.

Let the speed of B be 4x, then the speed of A is 5x.

4x/5x=50/ the speed of a car, and X can be eliminated.

In other words, the speed of car A is 62.5 kilometers per hour.

Then the whole journey is 6*62.5=375 kilometers.

A: it's 375 kilometers from a to b (the last one is very simple! You're not kidding! )

Now primary school homework is so difficult, I don't know if this is right! I hope I can help you.

Although you said that as long as the process is clear, I want to make it clear.

Come on ~ ~ it's better to do it yourself, it will be very fulfilling ~ ~ ~