Question

(Помогите решить задачу.С объяснениями.Крестьянка продовала яйца.1 //покупателю-1/3(дробью)имевшихся у неё яиц и ещё 15 шт.2-7/9(дробью)остатка и последние 10 шт.Сколько всего яиц продала крестьянка?(Олимпиаднео задание по математике за 6 кл)

Answer 1

Решение:

х - все имеющиеся яйца

купил 1 покупатель = 1/3х+15

осталось после первого = х - (1/3х+15) = 2/3х -15

1-7/9 = 2/9 остатка = 10

2/9 *(2/3х-15)=10

4/3х - 30 = 90

4/3 х = 120

х = 120* 3/4 =90

 

Ответ: всего продано 90 яиц 

 

Answer 2

To solve this problem, let's break it down step by step.

1. The peasant woman sold 1/3 of the eggs she had, plus an additional 15 eggs. 2. Then she sold 2 - 7/9 of the remaining eggs, which was the last batch of 10 eggs.

To find out how many eggs the peasant woman sold in total, we need to calculate the following:

1. Calculate the number of eggs she had before selling the first batch: - Let's assume the total number of eggs the peasant woman had is represented by x. - She sold 1/3 of the eggs, which is (1/3)x. - She also sold an additional 15 eggs. - Therefore, the number of eggs she had before selling the first batch can be represented as (1/3)x + 15.

2. Calculate the number of eggs she had before selling the second batch: - She sold 2 - 7/9 of the remaining eggs, which is (2 - 7/9)(1/3)x. - She also sold the last batch of 10 eggs. - Therefore, the number of eggs she had before selling the second batch can be represented as (2 - 7/9)(1/3)x + 10.

To find the total number of eggs the peasant woman sold, we need to add the number of eggs she sold in both batches:

Total number of eggs sold = (1/3)x + 15 + (2 - 7/9)(1/3)x + 10

Now, let's simplify the expression and solve for x:

Total number of eggs sold = (1/3)x + 15 + (2 - 7/9)(1/3)x + 10

Simplifying the expression:

Total number of eggs sold = (1/3)x + 15 + (2 - 7/9)(1/3)x + 10

Total number of eggs sold = (1/3)x + 15 + (2/1 - 7/9)(1/3)x + 10

Total number of eggs sold = (1/3)x + 15 + (18/9 - 7/9)(1/3)x + 10

Total number of eggs sold = (1/3)x + 15 + (11/9)(1/3)x + 10

Total number of eggs sold = (1/3)x + 15 + (11/27)x + 10

Combining like terms:

Total number of eggs sold = (1/3 + 11/27)x + 15 + 10

Total number of eggs sold = (9/27 + 11/27)x + 25

Total number of eggs sold = (20/27)x + 25

Now, we need to solve for x. To do that, we need to know the value of the total number of eggs sold. Unfortunately, the problem statement does not provide that information. If you have the value of the total number of eggs sold, you can substitute it into the equation above and solve for x.