
У 2-х рыбаков спросили: "Сколько рыбы в ваших корзинах?" -В моей корзине половина числа рыб,
находящихся в корзине у него , да ещё 10 ,- ответил 1-ый. -А у меня в корзине столько рыб сколько у него, да ещё 20 ,- сказал 2-ой. Сколько всего рыб у двух рыбаков?

Ответы на вопрос




Problem Analysis
We are given a scenario where two fishermen are asked about the number of fish in their baskets. The first fisherman says that in his basket, there are half the number of fish that are in the other fisherman's basket, plus 10. The second fisherman says that in his basket, there are as many fish as in the first fisherman's basket, plus 20. We need to determine the total number of fish that the two fishermen have.
Solution
Let's assume the number of fish in the first fisherman's basket is x. According to the first fisherman, there are half the number of fish in his basket compared to the other fisherman's basket, plus 10. So, we can write the equation:
x = (1/2)y + 10 (Equation 1)
where y represents the number of fish in the other fisherman's basket.
According to the second fisherman, there are as many fish in his basket as in the first fisherman's basket, plus 20. So, we can write the equation:
y = x + 20 (Equation 2)
To find the total number of fish that the two fishermen have, we need to find the values of x and y and then calculate x + y.
Solving the Equations
Let's solve the equations to find the values of x and y.
From Equation 2, we can substitute the value of y in Equation 1:
x = (1/2)(x + 20) + 10
Simplifying the equation:
2x = x + 20 + 20
2x = x + 40
x = 40
Now, substituting the value of x in Equation 2:
y = 40 + 20
y = 60
Total Number of Fish
The first fisherman has 40 fish in his basket, and the second fisherman has 60 fish in his basket. To find the total number of fish, we add the number of fish in both baskets:
Total number of fish = 40 + 60 = 100
Therefore, the two fishermen have a total of 100 fish.
Answer
The two fishermen have a total of 100 fish.


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