Question

Rui Feng has enough money to buy 24 apples.If the price of each apples is reduced by 5 cents, he will be able to buy an extra 6 apples with the same amount of money. Find the original price of each apples?

Answer 1

25

Explanation:

Let's assume the original price of each apple is x cents.

According to the given information, Rui Feng can buy 24 apples with his current amount of money. Therefore, the equation can be set up as:

24x = Rui Feng's total amount of money

If the price of each apple is reduced by 5 cents, the new price per apple would be (x - 5) cents. With the same amount of money, Rui Feng is now able to buy an extra 6 apples. Thus, the equation becomes:

30(x - 5) = Rui Feng's total amount of money

Since both equations represent the same total amount of money, we can equate them:

24x = 30(x - 5)

Let's solve this equation to find the original price of each apple:

24x = 30x - 150

150 = 30x - 24x

150 = 6x

x = 150 / 6

x = 25

Therefore, the original price of each apple was 25 cents.