6th grade ratio of the application problem solving。。。。。。。

The ratio of the distance repaired by the three teams is 8:7:5, so that the number of people required for the distance repaired by team A is 8x, the number of people required for the distance repaired by team B is 7x, and the number of people required for the distance repaired by team C is 5x

8x+7x+5x=60+40 From x=5, then we know that A needs 40 people, B 35 people, and C 25 people.

Therefore, C did not produce 25 laborers, paid 1350 yuan, and learned that 1's labor force was 54 yuan, and A got (60-40) 54=1080 yuan, and B got (40-35) 54=270 yuan.

In the end, A completes 60 100 and B completes 40 100

The ratio of A and B to C partially.

Therefore, teams A and B get 1350*4 5 = 1080 yuan, 1350*1 5=270 yuan respectively.

This question is mainly confusing two quantities, one is the quantity of engineering, and the other is the labor force. Originally, it was supposed to be based on the amount of work, but later, Team C replaced the work with seniority, and Team A and Team B helped Team C do what he was supposed to do. Then, just divide the money according to the extra part of each.

Think of it this way, calculate how much more teams A and B have done than they should be.

First of all, according to the ratio of the number of people, it can be obtained that the actual workload of the two teams should be 3:2, that is, 3 5 and 2 5 respectively

So, how much more than Team A should be doing? 3/5-8/20=1/5;

How much more than Team B should have done? 2/5-7/20=1/20;

Therefore, the ratio of the more completed parts of A and B is 1 5:1 20=4:1;

Therefore, Team A 1350*4 5=1080; Team B 1350*1 5=270;

Alas, it's not easy for children now.

Ratio problems can be completely converted into fraction problems to solve.

When Xiao Ming reads a book, the ratio of the number of pages read to the number of pages he has not read is 5:4. If you read another 27 pages, the ratio of the number of pages read to the number of pages not read is 2:1.

How many pages is there in this book + Analysis and Answer: Since the ratio of the number of pages read to the number of pages unread is 5:4, then the number of pages read accounts for 95 of the total number of pages in the library, and if you read another 27 pages, the ratio of the number of pages read to the number of pages not read is 2:

1, at this time, the number of pages read accounts for 32 of the total number of pages, then the corresponding score of 27 pages is 32-95 = 91, then the book has a total of 27 91 = 243 (pages).

Fraction multiplication and division.

1. The fraction is multiplied by an integer, the denominator remains unchanged, the numerator is multiplied by an integer, and finally the offer score that can be reduced.

2. Multiply the fraction by the fraction, multiply the numerator by the numerator, multiply the denominator by the denominator, and finally the offer score that can be reduced.

3. The fraction is divided by an integer, the denominator remains unchanged, if the numerator is a multiple of the integer, the numerator is divided by the integer, and finally the offer score that can be reduced to a fraction.

4. The fraction is divided by an integer, the denominator remains unchanged, if the numerator is not a multiple of the integer, then multiply this fraction by the reciprocal of the integer, and finally the offer score that can be reduced.

5. The fraction is divided by the fraction, which is equal to the reciprocal of the dividend multiplied by the divisor, and the last offer point that can be reduced.

In fact, the methods and ideas for solving the average score problems, normalization problems, and fraction application problems that I have learned before are the same. In particular, ratios and fractions are inextricably linked, and the application problems of ratios can be completely transformed into fraction application problems to solve.

For example, 2:3 is 2 parts more than 3 parts, which can be 4 and 6, 6 and 9.

Encounter difficulties, such as: A and B two garment factories in December production ratio of 6:7, unit price ratio of 11:

10. The total output value of the two factories is 81.6 million yuan. How many thousand yuan is the output value of the two garment factories?

Solution: The output value of factory A: the output value of factory B = (unit price of A x quantity of A) :(unit price of B x quantity of B) = (11x6) :(10x7) = 33:35.

8160 (33+35)=120 (10,000 yuan), 120x33=3960 (10,000 yuan), 120x35=4200 (10,000 yuan).

Column equation solution application steps:

1. Practical problems (review the problem, clarify all known and last known conditions and quantitative relationships).

2. Let the last known number (generally set directly, sometimes indirectly), and use the algebraic formula of the last known number to represent all the last known quantities.

3. Find the equation of the equivalence off.

4. Solve the equation and find other final conditions.

5. Test (test whether it is the solution of the original equation and whether it conforms to the practical significance).

6. Answer.

1.3 liters = ( ) cubic centimeters 2:15 = ( ) hours.

3.If 35 people in the class get it right and 5 people get it wrong, the correct rate is ( ) and the error rate is ( ).

The ratio of the simplest integer is ( ) and the ratio is ( ).

5.Beijing will host the 2008 Olympic Games, and there will be ( ) days in the year 2008.

6.• Charts can clearly represent the size of the quantity and accurately reflect the growth and change of the quantity.

7.If a=2 3 7, b=2 3 3 5, then the greatest common divisor of a and b is ( ) and the least common multiple is ( ).

8.Cut a steel bar 3 meters long into 4 equal sections, each section is ( ) meters long, and the length of each section is the ( ) of this steel bar

9.In a ratio, the two inner terms are reciprocal to each other, if one outer term is and the other is ( ).

10.Cylinders and cones of equal height have a difference of 6 cubic centimeters in volume, the volume of the cylinder is ( ) cubic centimeters, and the volume of the cone is ( ) cubic centimeters.

11.The sum of the numerator and denominator of a fraction is 25, and to reduce it to the simplest fraction is, this fraction is ( ).

A and B two kinds of apples ** ratio of 5:4, mass ratio of 2:3, now the two kinds of apples are mixed together to become 100 kg of mixed apples, **yuan kilograms, find the original two kinds of apples ** how much each?

Solution: Let A x kg and B kg

40x＋60×

x=5A: A is 5 yuan kg, B is 4 yuan kg

Fill in the blanks: 1. A batch of goods is allocated to three teams A, B and C according to 2 3 4, and this batch of goods has a total of ( ) copies, including ( ) copies of team A, ( ) copies of team B ( ), team C ( ) ( ) team A of this batch of goods ( ) B team of goods ( ) C team of this batch of goods ( ) of C ( ).

2. There are 20 boys and 30 girls in class 6 (1), and the ratio of boys to girls is ( ) The ratio of boys to the total number is ( ).

3. A car has traveled 360 kilometers in 6 hours, and the ratio of the distance and time traveled by the car is ( ) The ratio is ( ) The ratio of the time and distance traveled by the car is (, and the ratio is ( ).

5. The sum of the three numbers A, B, and C is 60, and the ratio of the three numbers A, B, and C is 3 2 1. The three numbers A, B, and C are ( ).

6. The quotient of the number A divided by the number B is, and the simplest integer ratio of the two numbers of A and B is (

Problem solving 1. A total of 36 tons of sand and stone, the ratio of sand to stone is 1 8, how many tons of sand and stone are there?

2. The circumference of a rectangle is 88cm, and the ratio of length to width is 4 7. How many centimeters is the length and width of a rectangle? What is the area?

3. The ratio of the number of internal angles of a triangle is 3 2 1, find the degrees of each angle, and say what kind of triangle it is?

4. The ratio of the number of locust trees and poplars in the park is 2 3, there are 40 locust trees and poplars, and how many willows and poplars are there?

5. There are 60 skipping ropes in the physical education room, which are assigned to two classes A and B according to the number of people, there are 42 people in class A and 48 people in class B.

There are two in the bottom corner.

Top Angle Bottom Angle Bottom Angle = 2 3 3

Top angle = 180° 2 (2+3+3) = 45° Base angle = (180-45°) 2=

The sum of the inner angles of the triangle is 180, and because it is isosceles, it is 2:3:3

So the top angle is 45, and the bottom angle is two.

Or so. Let the length of the armor be 3x, then the width of the armor is 2x, the length of the armor is 7y, and the width of the armor is 5y, then 3x+2x=7y+5y5y=12yx=12y x y=12 5

The area of A is 6x 2, B 35y 2 A: B = 6x 2 35y 2 = 6 35x144 25 = 864 875

The question is wrong, the length and width of the square should be equal, so there is no solution to this problem.