Question

Сашко сергійко і оленка разом зібрали 123 гриба.Сашко зібрав у 2 рази менше за Оленку, але на 28 більше ніж Сергій. Скільки зібрав кожен?

Answer 1

Там где-то ошибка
у меня вышло уравнение 4х =151

Answer 2

Let's set up a system of equations to solve this problem.

Let's assume: S = the number of mushrooms collected by Сашко, O = the number of mushrooms collected by Оленка, and C = the number of mushrooms collected by Сергійко.

We are given three pieces of information:

1. Сашко, Оленка, and Сергійко together collected 123 mushrooms: S + O + C = 123

2. Сашко collected two times fewer mushrooms than Оленка, which can be represented as: S = 1/2 * O

3. Сашко collected 28 more mushrooms than Сергійко: S = C + 28

Now, we have a system of three equations:

1. S + O + C = 123
2. S = 1/2 * O
3. S = C + 28

Let's use the second equation to express S in terms of O:

S = 1/2 * O

Now, we can substitute this value of S into the third equation:

1/2 * O = C + 28

Now, we have a system of two equations:

1. S + O + C = 123
2. 1/2 * O = C + 28

To solve for the values of O and C, we can rearrange the second equation to express C in terms of O:

C = 1/2 * O - 28

Now, we can substitute this value of C into the first equation:

S + O + (1/2 * O - 28) = 123

Let's now substitute the value of S from the second equation into this equation:

(1/2 * O) + O + (1/2 * O - 28) = 123

Simplify the equation:

2 * O - 28 = 123

Now, add 28 to both sides:

2 * O = 123 + 28 2 * O = 151

Finally, divide by 2:

O = 151 / 2 O = 75.5

Since the number of mushrooms collected must be a whole number, it seems there might be a mistake or some ambiguity in the problem statement. Please double-check the given information, as it is not possible for Оленка to collect a fractional number of mushrooms.

If you find the correct information and have another attempt at the problem, feel free to ask for further assistance!