Question

1. Антон собрал в 3 раза грибов больше, чем Таня, и на 54 гриба дольше, чем Даша. Сколько грибов собрала Даша, если все вместе собрали 455 грибов?

Answer 1

Пусть Даша собрала х грибов, тогда 
Антон собрал 54+х 
Таня собрала 3* (54 + х) 
теперь можно составить уравнение:
х + (54 + х) + 3(54 + х) = 455 
3х = 231 
х = 71
Ответ: Даша собрала 71 гриб.

Answer 2

Problem Analysis

We are given the following information: - Anton collected 3 times more mushrooms than Tanya. - Anton collected 54 mushrooms more than Dasha. - The total number of mushrooms collected by all three is 455.

We need to determine how many mushrooms Dasha collected.

Solution

Let's assume that Tanya collected x mushrooms. According to the given information, Anton collected 3 times more mushrooms than Tanya, so Anton collected 3x mushrooms. Additionally, Anton collected 54 mushrooms more than Dasha, so Dasha collected (3x - 54) mushrooms.

The total number of mushrooms collected by all three is 455, so we can write the equation:

x + 3x + (3x - 54) = 455

Simplifying the equation:

7x - 54 = 455

Adding 54 to both sides:

7x = 509

Dividing both sides by 7:

x = 73

Therefore, Tanya collected 73 mushrooms, Anton collected 3 times more (3 * 73 = 219) mushrooms, and Dasha collected 54 mushrooms less than Anton (219 - 54 = 165) mushrooms.

So, Dasha collected 165 mushrooms.

Answer

Dasha collected 165 mushrooms.