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Several elementary school mathematics problems about substitution method and hypothesis method
1. solution: suppose that the apprentice processes x pieces per hour and the master processes (x+2) pieces per hour.

8(x+2)+ 10x= 124

8x+ 16+ 10x = 124

18x= 108

x=6

x+2=8

A: The master processes 8 pieces per hour and the apprentice processes 6 pieces per hour.

2. Solution: Let's March X kilometers every day in sunny days and (x-5.5) kilometers every day in rainy days.

7x+3(x-5.5)= 155.5

7x+3x- 16.5= 155.5

10x= 172

x= 17.2

x-5.5= 1 1.7

Answer: 17.2km every day on sunny days in March and 1 1.7km every day on rainy days.

3. Solution: There are X buses and (7-x) minibuses.

46x+20(7-x)=270

46x-20x+ 140=270

26x= 130

x=5

7-x=2

A: There are five buses and two minibuses.

4.( 1) Solution: Let the load capacity of each truck be x tons.

1/4x*6+2x= 14

2/7x= 14

x=4

The load capacity of each truck is 4 tons.

(2) Solution: Let the load capacity of each truck be X tons and the load capacity of each tractor be (x-4).

2x+6(x-4)= 14

2x+6x-24= 14

8x=38

x=4.75

x-4=0.75

A: The load capacity of each truck is 4.75 tons, and the load capacity of each tractor is 0.75 tons.

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