Proportional distribution problem

Example 1: A washing machine factory produces three types of washing machines *** 1500. It is known that the number ratio of three types of washing machines, A, B and C, is 2: 3: 5, so how many washing machines are produced by each of the three types?

Exercise 1: The tonnage ratio of goods transported by trucks A, B and C is 6: 7: 4.5. It is known that truck A carries more 12 tons of goods than truck C, so how many tons do the three trucks carry respectively?

Example 2: The number of parts produced by workers A, B and C in a factory every day, the ratio of A to B is 3: 4, and the ratio of B to C is 2: 3. If the number of pieces produced by B per day is 945 less than the sum of A and C, how many pieces will each worker produce?

Exercise 2: Three granaries A, B and C store 80 tons of grain. It is known that the ratio of grain stored in warehouses A and B is 1: 2, and the ratio of grain stored in warehouses B and C is 1: 2.5. How many tons are stored in granaries A, B and C respectively?

Overall and local problems

Example 3: The school bought a batch of exercise books and distributed them to three classes. Class A got 42% of all the exercise books, Class B got Class A, and Class C got 20 fewer than Class B. How many exercise books are there?

Exercise 1: If you happen to need 6 yuan money to buy 1 notebook and 1 pen, you need 18 yuan to buy 1 notebook and 4 pens, then what are the prices of these two pens respectively?

Exercise 2: The Youth League Committee of the school organizes 65 members to build flower beds and move bricks for the school. Students in Grade One moved six bricks each, and students in other grades moved eight bricks each. A total of 400 bricks were moved. How many students in Grade One participated in moving bricks?

Analysis: suppose there are x people involved in moving bricks in senior one. The list is as follows, and the equation can be listed as follows: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

The total number of students from other grades participating in Grade One.

Number of participants x 65

Everyone takes 6 8 bricks.

* * * Moving bricks 400

With and without transfer-in.

Example 4: The school organizes tree planting activities. It is known that A has 23 people planting trees, and B has 17 people planting trees. Now, 20 people are deployed to support it, so that A has twice as many people planting trees as B. How many people should A and B deploy?

Exercise 1: warehouse a stores 35 tons of grain, warehouse b stores grain 19 tons, and now the grain is adjusted to 15 tons. How many tons should the two warehouses be equipped with, so that the grain quantity of warehouse A can reach twice that of warehouse B?

Exercise 2: A landscaping campus, arrange 32 people to pull weeds, 17 people to plant trees, and then send 20 people to support. As a result, twice as many people pull weeds as plant trees. How many people support pulling weeds and planting trees respectively?

There are transfers in and out:

Example 5: Class A is divided into two groups: Group A has 29 people and Group B 19 people.

(1) If X students are transferred from group A to group B, so that the number of students in the two groups is equal, the equation can be listed as follows:

(2) If Y students are transferred from Group B to Group A, so that the number of students in Group A is twice that of Group B, the equation can be listed as follows:

Exercise1:The number of team A is twice that of team B. After transferring 12 from team A to team B, the remaining number of team A is more than half of the original number of team B. 15. What are the original numbers of teams A and B?

Exercise 2: Party A and Party B have 108 books and 54 books respectively. Now let Party A give some books to Party B, so that the books owned by Party A account for 20% of the books owned by Party B. How many books did Party A give?

With or without transfer:

Example 6: The two engineering teams A and B have 188 and 138 respectively. Now we need to draw 1 16 people from the two teams to form the third team, and the ratio of the remaining people in teams A and B is 2: 1. How many people did Team A and Team B draw?

Exercise 1: The ratio of money between Party A and Party B is 7:6. After they go to the store to buy things, when Party A spends 50 yuan for 60 hours and Party B spends 60 hours, the ratio of their money is 3: 2. What money is left on them?

Exercise 2: There are *** 15 boys and girls in a certain group. If the number of girls decreases by three, the number of boys is twice that of girls. What are the numbers of boys and girls in this group?

Thinking: The number of girls in a class is less than 2/3 of that of boys. If the number of girls increases by 3 and the number of boys decreases by 3, then the number of girls is equal to 7/9 of the number of boys. How many boys and girls are there?

homework

1. Teacher Wei went to the market to buy vegetables, and found that if 10 Jin of vegetables were put on the scale, the pointer on the dial turned to 180. As the picture shows, the next day, Teacher Wei gave the students two questions:

(1) If you put 0.5 kg of vegetables on the scale, how many angles will the pointer turn?

(2) If the pointer turns to 540, how many kilograms are these dishes?

2. The bus * * * consisting of the front and 14 cars weighs 347.5 tons. It is known that the weight of the front car is more than that of the four cars 14.5 tons. How many tons does the front of the car weigh How many tons does each carriage weigh?

3. An orchard used sulfur, lime and water as an insecticide, including 2 parts of sulfur, 0 parts of lime/kloc-0 and 0 parts of water/kloc-0. How many kilograms of sulfur does it take to make 520 kilograms of this insecticide?

4. There were 68 original workers in Team A and 44 original workers in Team B, and now 42 people have been transferred to these two teams. How many workers should be transferred to each team in order to make the number of B team twice that of A team?

5. Team A has 50 vehicles and Team B has 4/kloc-0 vehicles. If team B has more cars 1 car than team A, how many cars should team A transfer to team B?

6. A class is divided into two groups, team A and team B, with 29 students, 19 students. Later, it was found that the task was heavy and the manpower was not enough. 12 of the other class were divided into two teams. How can the number of team A be twice that of team B?

7. There are 64 people in the first workshop and 56 people in the second workshop of a factory. Now, due to the need of work, the number of people in the first workshop is required to be half of that in the second workshop. How many people should be transferred from the first workshop to the second workshop?

8. Xiaoming bought two kinds of books with 172 yuan, *** 10, and the unit prices were 18 yuan and 10 yuan respectively. How many books did Xiaoming buy?

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