"Solving Problems with Proportions" Comparison and Proportional Distribution PPT Courseware

"Solving Problems with Proportions" Comparison and Proportional Distribution PPT Courseware

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"Solving Problems with Proportions" Comparison and Proportional Distribution PPT Courseware

Determine whether the two quantities in each of the following questions are proportional, and to what proportion? Why?

1. The unit price for purchasing textbooks is certain, the total price and quantity.

2. The total distance, speed and time are certain.

3. The total number of parts is certain, the number of days of production and the number of pieces produced per day.

Number of pieces produced per day × number of days = total number (certain)

When the total number is constant, the number of days of production is inversely proportional to the number of pieces produced per day.

4. The total amount of money is certain, the amount of money used and the amount of money left.

The amount of money used + the amount of money left = the total amount of money (certain)

Determine whether the two quantities in the following questions are proportional, and to what proportion? Why?

1. The unit price of water is certain, the water fee and the tonnage of water used. (proportional)

2. The total distance, speed and time are certain. (proportional)

3. The total number of books in a batch is certain, including the number of packages and the number of books per package. (proportional)

4. The total amount of money is certain, the amount of money used and the amount of money left. (out of proportion)

What’s the key to using proportions to solve problems?

Find two related quantities and see if they are certain and in what proportion? (It is agreed that the positive product will determine the negative)

Then list the equations according to what they mean by direct proportion or inverse proportion.

The process of using proportions to solve this type of problem can be summarized into the following steps:

(1) Find two related quantities and see if they are certain and in what proportion?

(2) Let the required problem be x;

(3) List proportional formulas;

(4) Solve the ratio, check the calculation (can be verified by calculation method), and answer.

Please analyze according to the method you just studied in the example, only list the formulas and do not calculate.

1. It cost 780 yuan to buy 3 barrels of oil in the canteen. Based on this calculation, how much yuan does it cost to buy 8 barrels of oil?

Solution: Suppose it costs x yuan to buy 8 barrels of oil.

780/3=x/8

2. The students are doing radio gymnastics. There are 20 people standing in each row, which is exactly 18 rows. If there are 24 people standing in each row, how many rows can they stand?

Solution: Suppose x people can stand.

30x=20×18

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"Solving Problems with Proportions" Comparison and Proportional Distribution PPT Courseware 2:

"Solving Problems with Proportions" Ratio and Proportional Distribution PPT Courseware 2 1. Old knowledge foreshadowing It is known that the ratio of the number of boys to the number of girls in Class 1 of sixth grade is 3:4 (1) The ratio of the number of boys to the number of the whole class is ( ): ( ) (2) The number of boys in the class is ( )/( ) (3) The number of girls..

"Solving Problems with Proportions" Proportion PPT Courseware:

"Use Proportions to Solve Problems" Proportion PPT Courseware Our family used 8 tons of water last month and the water bill was 12.8 yuan. First calculate the price of each ton of water and then calculate the cost of 10 tons of water. How much is the price of each ton of water? 12.88=1.6( Yuan) How much is 10 tons of water? 1.610=16 (Yuan) ... ... ... because...

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