"Application of linear equations of one variable" PPT courseware 2

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"Application of linear equations of one variable" PPT courseware 2

Use your brain

If a store sells a certain model of color TV at 20% off the listed price, then the profit margin of each color TV at this time is 5%. It is known that the purchase price of this model of color TV is 4,000 yuan per unit, find the list price of this model of color TV.

The equivalent relationship involved in this problem is: selling price - purchase price = profit.

If the price of each color TV is set to x yuan, then the selling price and profit of the color TV can be expressed separately, as shown in the figure.

Solution: Suppose the price of color TV is x yuan per unit. According to the equivalent relationship, we get

0.8x -4000 = 4000×5%

Solve for x =5250.

Therefore, the price of the color TV is 5,250 yuan per unit.

Example

Example 2 On October 1, 2011, Yang Ming deposited a sum of money in a bank for 3 years with an annual interest rate of 5%. If he withdraws it after maturity, he can get the principal, interest and 23,000 yuan. Find the principal deposited by Yang Ming How much is it?

Analysis The money deposited by customers in the bank is called principal.

The remuneration paid by banks to customers is called interest.

Interest = principal × annual interest rate × number of years.

The equivalence relations involved in this problem are:

Principal + interest = sum of principal and interest.

practise

1. A city issues football lottery tickets and plans to use 49% of the total issued amount as bonuses. If the total bonus is 93,100 yuan and each lottery ticket is 2 yuan, how many lottery tickets should be sold to cash in the bonus?

Solution: Suppose x lottery tickets are issued. According to the meaning of the question, we get

2x49%x = 93100

Solving this equation, we get x = 95000

Answer: 95,000 lottery tickets should be sold to cash in the bonus.

2. On November 9, 2011, Li Hua deposited a one-year time deposit in a bank with an annual interest rate of 3.5%. When he withdraws it after one year, he can get the principal, interest and 3105 yuan. What is the amount of money Li Hua deposited? How much is the principal amount?

Solution Assume that the principal deposited by Li Hua is x yuan. According to the equivalent relationship, we get

x+1×3.5% x = 3105

Solve to get x=3000

Answer: The principal deposited by Li Hua is 3,000 yuan.

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Update Time: 2024-09-16

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