Question

Света собирала грибы. Подосиновиков Света собрала в два раза меньше,чем маслят,а подберезовиков столько же,сколько маслят.Света решила посчитать все собранные грибы. Сначала у неё получилось 72 гриба,потом 75,а в третий раз 74. Известно,что один раз Света посчитала правильно. Сколько грибов собрала Света. Решение.

Answer 1

Надеюсь разберётесь;))

Answer 2

Problem Analysis

Svetа collected mushrooms, including porcini, slippery jacks, and birch boletes. She counted the mushrooms three times and got different results each time. We need to determine how many mushrooms Svetа collected based on the given information.

Solution

Let's assume that the number of porcini mushrooms Svetа collected is x. According to the information given, she collected half as many slippery jacks as porcini mushrooms, so the number of slippery jacks is x/2. She collected the same number of birch boletes as slippery jacks, so the number of birch boletes is also x/2.

Svetа counted the mushrooms three times and got different results each time: 72, 75, and 74. We know that one of these counts is correct. Let's analyze each count:

1. If the count is 72, then the total number of mushrooms collected would be x + x/2 + x/2 = 72. 2. If the count is 75, then the total number of mushrooms collected would be x + x/2 + x/2 = 75. 3. If the count is 74, then the total number of mushrooms collected would be x + x/2 + x/2 = 74.

Let's solve each equation to find the value of x:

1. x + x/2 + x/2 = 72: - Combining like terms: 2x/2 + x/2 + x/2 = 72 - Simplifying: 2x + x + x = 144 - Combining like terms: 4x = 144 - Solving for x: x = 144/4 = 36

2. x + x/2 + x/2 = 75: - Combining like terms: 2x/2 + x/2 + x/2 = 75 - Simplifying: 2x + x + x = 150 - Combining like terms: 4x = 150 - Solving for x: x = 150/4 = 37.5

3. x + x/2 + x/2 = 74: - Combining like terms: 2x/2 + x/2 + x/2 = 74 - Simplifying: 2x + x + x = 148 - Combining like terms: 4x = 148 - Solving for x: x = 148/4 = 37

Out of the three counts, only the count of 74 is a whole number. Therefore, Svetа collected 37 porcini mushrooms.

Answer

Svetа collected 37 porcini mushrooms.

Verification

To verify our answer, let's calculate the total number of mushrooms collected using the value of x:

- Porcini mushrooms: 37 - Slippery jacks: 37/2 = 18.5 - Birch boletes: 37/2 = 18.5

The total number of mushrooms collected is 37 + 18.5 + 18.5 = 74. This matches the count of 74, which means our answer is correct.

Conclusion

Svetа collected 37 porcini mushrooms.