"Practical Problems and Linear Equations of One Variable" PPT Courseware 3 of Linear Equations of One Variable

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"Practical Problems and Linear Equations of One Variable" PPT Courseware 3 of Linear Equations of One Variable

Example 1 There are 22 workers in a workshop. Each person can produce 1,200 screws or 2,000 nuts per day. One screw needs to be matched with 2 nuts. In order to ensure that the screws and nuts produced every day are exactly matched, workers who produce screws and nuts should be arranged. How many of each?

Analysis: When the number of nuts produced every day is twice the number of screws, they are just matched.

Solution: Suppose x workers should be arranged to produce screws and (22-x) workers to produce nuts.

List the equation based on the number of nuts being twice the number of screws

2000(22-x)=2×1200x

Solving the equation, we get 5(22-x)=6x

110-x=6x

11x=110

x=10

22-x=12

General steps for solving word problems using equations

1. Review the question: Analyze the meaning of the question and find out the key words and quantitative relationships in the question.

2. Set the element: Choose an appropriate unknown number to represent it with a letter.

3. List equations: list equations based on equivalence relationships;

4. Solve the equation and find the value of the unknown;

5. Check and answer: Check whether the obtained value is correct and reasonable; write the answer.

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Update Time: 2024-10-02

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 1 industry PPT template

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