"Application of linear equations of one variable" PPT courseware 10

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"Application of linear equations of one variable" PPT courseware 10

Economic issues

1. Mom deposits 5,000 yuan in the bank as a one-year fixed deposit with an annual interest rate of 1.98%. After maturity, she will earn _____ yuan in interest.

Interest = principal × interest rate × number of periods = 5000 × 1.98% × 1 = 99 (yuan)

2. Mom deposits x yuan in the bank as a one-year regular savings, with an annual interest rate of 1.98%. After maturity, she will receive interest of __________ yuan.

3. Mom deposits x yuan in the bank as a one-year regular savings, with an annual interest rate of 1.98%, and the interest tax rate is 20%. After maturity, the interest tax is __________ yuan.

In the end, the mother’s take-home benefit was __________ yuan.

Interest tax = interest × tax rate

Sum of take-home principal and interest = principal + interest – interest tax

Student Hu Hua deposited the New Year's money into the bank on a regular basis for one year. At that time, the annual interest rate for one-year time deposits was 1.98%, and the interest tax rate was 20%. After deducting the interest tax when withdrawing at maturity, classmate Hu Hua received the principal, interest and It is 507.92 yuan. Ask Hu Hua how much new year's money he deposited in the bank?

Thinking: How much is the principal in this question? How much is the interest? How much is the interest tax? Which unknowns are assumed? Based on what equivalent relationship, the equation is listed? How to solve the equation?

Interest = principal × interest rate × number of periods

Interest tax = interest × tax rate

Sum of take-home principal and interest = principal + interest – interest tax

Example 4: There are 45 people in the seventh grade (2) class of our school who have signed up to join the literary club or the calligraphy and painting club. It is known that the number of people participating in the literary club is 5 more than the number of people participating in the calligraphy and painting club. There are 20 people participating in both clubs. Question: How many people participate in the calligraphy and painting club?

Analysis: The number of people participating in the calligraphy and painting club + the number of people participating in the literature club = the number of people participating in both clubs + the total number of people in the class

Solution: Suppose there are x people joining the calligraphy and painting club, then there are (x+5) people joining the literature club;

From the meaning of the question, we can get that x+(x+5)=45+20

Solving this equation, we get x=30

Answer: There are 30 people participating in the calligraphy and painting club.

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Update Time: 2024-10-24

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