Question

Один пирожок и три конфеты стоят столько же сколько 2 пирожка и одна конфета. У Лены хватило денег на 3 пирожка. Сколько конфет она могла бы купить на эти же деньги

Answer 1

Problem Analysis

We are given the information that one pie and three candies cost the same as two pies and one candy. We also know that Lena had enough money to buy three pies. We need to determine how many candies she could have bought with the same amount of money.

Solution

Let's assume the cost of one pie is P and the cost of one candy is C. According to the given information, we have the following equations:

Equation 1: 1P + 3C = 2P + 1C Equation 2: 3P = Lena's available money

To solve this problem, we need to find the values of P and C that satisfy both equations.

Solving the Equations

Let's solve Equation 1 for P: 1P + 3C = 2P + 1C P = 2C

Substituting P = 2C into Equation 2: 3(2C) = Lena's available money 6C = Lena's available money

Since Lena had enough money to buy three pies, we can write: 6C = 3P C = P/2

Now, we can substitute C = P/2 into Equation 1: 1P + 3(P/2) = 2P + 1(P/2) 2P + 3P/2 = 2P + P/2 4P/2 + 3P/2 = 2P + P/2 7P/2 = 5P/2

To find the value of P, we can cancel out the denominators: 7P = 5P

Since the equation is true for any value of P, we can conclude that P can be any non-zero value.

Conclusion

Based on the given information, we can conclude that Lena could have bought any number of candies with the same amount of money she used to buy three pies. The number of candies she could have bought is not determined by the given information.

Please let me know if I can help you with anything else.