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"Simple Application" Ratio and Proportion PPT Courseware
teaching objectives
1. Combined with specific examples, go through the process of solving simple proportional distribution problems.
2. Understand the meaning of proportional distribution and be able to answer simple proportional distribution questions.
3. Feel the widespread application of proportional distribution in production and life, and stimulate interest in learning mathematics.
A rectangular vegetable plot covers 984 square meters (as shown below). Plan to mix eggplant and tomatoes at a ratio of 3:5. How many square meters are there for various types of eggplants and tomatoes?
Total number of copies: 3+5=8
Eggplant: 984×3/8＝369 (square meters)
Tomatoes: 984×5/8=615 (square meters)
Quantity per serving: 984÷8＝123 (square meters)
Eggplant: 123×3=369 (square meters)
Tomatoes: 123×5=615 (square meters)
Answer: 369 square meters are planted with eggplants and 615 square meters are planted with tomatoes.
practice
1. The epidemic prevention station prepares a pesticide with liquid medicine. The volume ratio of the medicine and water is 1:14.
2. Before the National Day, Chunlei Primary School held the "I Love the Motherland" painting competition and received a total of 198 works. The ratio of the number of winning works to non-winning works is 5:13. How many winning works are there? What about the works that didn’t win?
3. An edible fungus culture material is prepared with 45 parts of sawdust, 4 parts of rice bran and 1 part of corn flour. Now to prepare 1200 kilograms of nutrients, how many kilograms of sawdust, rice bran and corn flour are needed?
45＋4＋1＝50
Wood chips: 1200×45/50=1080 (kg)
Rice bran: 1200×4/50=96 (kg)
Corn flour: 1200×1/50=24 (kg)
Answer: 1080 kilograms of sawdust, 96 kilograms of rice bran, and 24 kilograms of corn flour are required.
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