Problem Solving in 6th Grade Mathematics, Problem Solving in 6th Grade Mathematics

Suppose that if 6 legs of each insect are cut off, then there will be 2 legs left for the spider.

A total of 21x6 = 126 legs, left: 140-126 = 14 legs, each spider has 2 legs left, then there are spiders:

14 2 = 7, there are a total of 21-7 = 14 dragonflies and cicadas, continue to cut off 1 pair of wings of each dragonfly and cicada, there will be 1 pair of wings left for the dragonfly, cut off: 14x1 = 14 pairs of wings, and left: 24-14 = 10 pairs of wings, each dragonfly has 1 pair of wings left, then there are 10 1 = 10 dragonflies.

There are 21-7-10 = 4 cicadas.

2. Buy 30 Chinese exercise books and 24 math workbooks, which cost a total of yuan, and each language workbook is more expensive than the math workbook. What is the ** of each language workbook and each math workbook?

Each language workbook is more expensive than a math workbook.

30 Chinese exercise books are more expensive than 30 math exercise books.

24 + 30 = 54 math exercise books: RMB.

Price of 1 math exercise book: RMB.

Price of 1 language exercise book: RMB.

Let the spider be x, the dragonfly be y, and the cicada be z.

x+y+z=21

8x+6y+6z=140

2y+z=24

If the language text is x, then the mathematical text is.

30x+24（x=

1 set; Spider x Dragonfly y Cicada Z

x+y+z=21

8x+6y+6z=140

2y+z=24

Just set up a system of equations and solve it.

2 sets; Chinese text x math book y

x-y=30x+24y=

A system of equations is solved.

I won't talk about the answer, it's better to do it yourself, and that's what the method looks like, I don't know that I haven't learned equations in 6th grade math now.

Question 2: Solution: Set up a math workbook x yuan, and a Chinese workbook (x + yuan.

Then: 24x+30(x+

24x+30x+ =

54x =54x =

x = language: meta).

Second workshop = 1 4 (1-1 5) = 1 5

Three workshops = 1 5 (1 + 3 10) = 13 50

Total = 156 13 50 = 600 people.

Answer: The volume of round steel is 1413 cubic centimeters.

Solution: The volume of a round steel with a radius of 5 cm and the length of 8 cm is the volume of a cylindrical barrel with a height of 4 cm.

So. Cylindrical barrel bottom area.

157 square centimeters.

The round steel is all put into the water, and the water surface rises by 9 cm.

The volume of round bars = 157 9 = 1413 cubic centimeters.

Round steel bottom area:

Exposed volume: bucket bottom area: 628 4 = 157 (cm 2) round steel volume: 157 * 9 = 1413 (cm 2).

Because the round steel in the water is exposed to a length of 8cm, the water in the bucket will drop by 4cm, so the volume of water that falls by 4cm is 9*5*5*pai=25pai, and the volume is 2025pai 4cm cube because it is fully extended and rises by 9cm.

1.1600*(1 7) = kWh.

2.60*(7 5)=84 km.

3.(13 5) * 8 = mu.

4.160*(3 4)=120 trees.

5.120 * (3 5) + 13 = 85 sheets.

1.Solution: Set up x chickens.

2x-4 =(80-x)4

2x-4 =320-4x

2x+4x =320+4

6x =324

x = 5480-54 = 26 (only).

A: 54 chickens and 26 rabbits.

2.Solution: If there are x 5 dime coins, then the number of 2 dime coins is 4x

x=23Answer: There are 23 coins in five dimes.

3.Solution: Set up x gel pens.

1584-344 =1240 =x =1240/

x = 50 pencils: 50 * 5 = 250 (pieces).

Fountain pen: 330-250-50=30 (count).

A: There are 250 pencils, 50 gel pens, and 30 fountain pens.

Hope it helps!

1. Solution: If there are x rabbits, then according to the question, 4x+4) 2+x=80

Solution x=26

80-26=54 (only).

A: There are 54 chickens and 26 rabbits.

2. Solution: There are x coins with 5 jiao, yuan = 299 jiao.

According to the title, 2 4x+5 = 299

The solution is x=23

A: There are 23 coins of 5 jiao.

3. Solution: If there are x gel pens, there are 5x pencils and (330-x-5x) pens.

According to the title, 1584-344=

Solution x=50

5x=250 (pieces), 330-x-5x=30 (pieces) Answer: There are 250 pencils, 50 gel pens, and 30 fountain pens.

1.If there are x chickens, then rabbits (80-x).

2x-4（80-x）=4

x=54 80-x=26

A: 54 chickens and 26 rabbits.

2.If there are x 5 dime coins, then the number of 2 jiao coins is 4x

x=23A: Yes, 23.

3.If there are x gel pens, the pencil will be 5x, and the fountain pen will be (330-6x) x=

1 Set chicken x then rabbit 80-x

2x-4（80-x）=4

The solution is x=54

i.e. chicken 54 rabbit 26

2 Set x of the pentagonal to 4 x of the diagonal

x=23 is 23 of the pentagrams.

3 Set gel pen x pen, pencil 5x fountain pen 330-x-5x*5x+

The solution is x=50 substitution (pencil 5x) =250 (pen 330-x-5x)=30

Faint! The title is not very clear!

rounded off).

2.If the length and width are 5x 3x and add up to 8x=160, then x=20, so the length is 100. The width is 60. The area is 6000 square centimeters.

Page 24.

4.Pine trees account for 16% of the total, so the total number of trees is 24.

I have worked hard to put the problem on it, and I have already made it!