Question

Слава купил 20 конфет, но ему не хватило 3 рубля. Тогда он купил 15 конфет, и у него осталось 7 рублей сдачи. Сколько стоит одна конфета?

Answer 1

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Answer 2

Problem Analysis

Slava initially bought 20 candies but was short of 3 rubles. He then bought 15 candies and had 7 rubles left as change. We need to calculate the cost of one candy.

Solution

Let's assume the cost of one candy is x rubles.

According to the given information, Slava bought 20 candies but was short of 3 rubles. This means the total cost of 20 candies is 20x rubles minus 3 rubles.

Similarly, when Slava bought 15 candies, he had 7 rubles left as change. This means the total cost of 15 candies is 15x rubles plus 7 rubles.

We can set up the following equations based on the given information:

Equation 1: 20x - 3 = total cost of 20 candies Equation 2: 15x + 7 = total cost of 15 candies

To find the cost of one candy, we need to solve these equations simultaneously.

Let's solve the equations:

Equation 1: 20x - 3 = total cost of 20 candies Equation 2: 15x + 7 = total cost of 15 candies

Solving Equation 1: 20x - 3 = total cost of 20 candies 20x = total cost of 20 candies + 3 20x = (20x - 3) + 3 20x = 20x This equation is true for any value of x.

Solving Equation 2: 15x + 7 = total cost of 15 candies 15x = total cost of 15 candies - 7 15x = (15x + 7) - 7 15x = 15x This equation is also true for any value of x.

Since both equations are true for any value of x, we can conclude that the cost of one candy can be any value.

Therefore, we cannot determine the exact cost of one candy based on the given information.

In conclusion, the cost of one candy cannot be determined based on the given information.