Question

крестьянин сделал для продажи 150 корзин и туесков. после того как он продал 20 корзин и 10 туесков, корзин и туесков стало поровну. сколько корзин сделал крестьянин и сколько туесков

Answer 1

Problem Analysis

A peasant made 150 baskets and tufted cushions for sale. After selling 20 baskets and 10 tufted cushions, the number of baskets and tufted cushions became equal. We need to determine how many baskets the peasant made and how many tufted cushions he made.

Solution

Let's assume the number of baskets the peasant made is x and the number of tufted cushions he made is y.

According to the problem, the peasant made a total of 150 baskets and tufted cushions for sale. So we have the equation:

x + y = 150 ---(Equation 1)

After selling 20 baskets and 10 tufted cushions, the number of baskets and tufted cushions became equal. This gives us the equation:

(x - 20) = (y - 10) ---(Equation 2)

We can solve this system of equations to find the values of x and y.

Solving the System of Equations

We can solve the system of equations by substituting Equation 1 into Equation 2:

(x - 20) = (y - 10)

Substituting x + y = 150 into the equation, we get:

(150 - y - 20) = (y - 10)

Simplifying the equation:

130 - y = y - 10

Adding y to both sides:

130 = 2y - 10

Adding 10 to both sides:

140 = 2y

Dividing both sides by 2:

y = 70

Substituting the value of y back into Equation 1:

x + 70 = 150

Subtracting 70 from both sides:

x = 80

Therefore, the peasant made 80 baskets and 70 tufted cushions.

Answer

The peasant made 80 baskets and 70 tufted cushions for sale.