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Mathematical application problems of sixth grade in Shanghai
1, there are 6 more boys in one class than 5/7 in the whole class, and 4 fewer girls than the whole class 1/4. How many people are there in the class?

Suppose there are x people in this class.

5/7X+6+ 1/4X-4=X

X=56

2. Warehouse A originally stored 50 tons less grain than warehouse B. After 30 tons of grain were transferred from warehouse A to warehouse B, warehouse A stored less grain than warehouse B 1/4. How many tons does warehouse B store now?

If warehouse B has X tons of grain, warehouse A is X-50 tons.

(X-50-30)=X( 1- 1/4)

X=320

3. The original 1/5 students of Class 6 (1) took part in the labor, and then two students took the initiative to participate, so the actual number of participants was the rest 1/3. How many people actually took part in the labor?

There are x people in this class.

3( 1/5X+2)=X-2- 1/5X

X=40

40* 1/5+2= 10 people. There are 10 people who actually participate in labor.

4, a box of candy * * * has 80 pieces, which are distributed to two brothers. Brother eats his own 1/3, brother eats 10, and then eats five. The remaining two people are just equal. How much did the two brothers get?

Suppose my brother gets an X and my brother gets 80-X.

X( 1- 1/3)= 80-X- 10-5

X=45

80-45=35. Brother gets 45, brother gets 35.

5. There are two baskets of apples. The first basket has 365,438+0 fewer apples than the second. If you take seven apples from the first basket and put them in the second basket, the ratio of apple books in the first basket and the second basket is 4: 7. How many apples are there in the second basket now?

If there are x baskets, then the second basket is X+3 1.

(X-7):(X+3 1+7)=4:7

X=67

67+3 1=98 A 67 B 98

6. A worker's master spent five minutes making a part, and his apprentice spent nine minutes making a part. After a period of cooperation between master and apprentice, 84 parts were made in one breath. How many parts did each of them make?

84*9/ 14=54

84*5/ 14=30 masters, 54 apprentices and 30 apprentices.