Question

Дед посадил в огороде репу осенью дед позвал собирать урожай Бабку, Внучку, Жучку, Кошку. Дед собрал 2/7 от урожая собранного бабкой . Внучкин урожай составил 2/3 урожая бабки. Бабка собрала на 30 репок больше деда, а жучка и кошка вместе собрали 3/5 общего урожая репы,причём кошка собрала на 15 репок меньше жучки. Сколько репок собрала жучка?

Answer 1

Ответ: 69 репок собрала Дучка

Пошаговое объяснение:

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of turnips collected by the dog (жучка). We are given the following information: - The grandfather (дед) collected 2/7 of the total harvest collected by the grandmother (бабка). - The granddaughter (внучка) collected 2/3 of the harvest collected by the grandmother. - The grandmother collected 30 more turnips than the grandfather. - The dog and the cat (кошка) together collected 3/5 of the total harvest, with the cat collecting 15 fewer turnips than the dog.

We need to find the number of turnips collected by the dog (жучка).

Solution

Let's assume the total harvest collected by the grandmother is represented by the variable "x".

From the given information, we can derive the following equations: - The grandfather collected 2/7 of the total harvest collected by the grandmother: (1) 2/7 * x - The granddaughter collected 2/3 of the harvest collected by the grandmother: (2) 2/3 * x - The grandmother collected 30 more turnips than the grandfather: (3) 2/7 * x + 30 - The dog and the cat together collected 3/5 of the total harvest, with the cat collecting 15 fewer turnips than the dog: (4) (3/5) * x = (2/3 * x) + (2/3 * x - 15)

Now, let's solve these equations to find the number of turnips collected by the dog (жучка).

(1) 2/7 * x = 2/3 * x + 2/3 * x - 15

Simplifying the equation: 2/7 * x = 4/3 * x - 15

Multiplying both sides by 21 to eliminate the fractions: 6x = 28x - 315

Subtracting 28x from both sides: -22x = -315

Dividing both sides by -22: x = 315/22

Therefore, the total harvest collected by the grandmother (бабка) is approximately 14.3182.

Now, let's substitute this value back into equation (4) to find the number of turnips collected by the dog (жучка):

(3/5) * 14.3182 = (2/3 * 14.3182) + (2/3 * 14.3182 - 15)

Simplifying the equation: 8.5909 = 9.5455 + 9.5455 - 15

Combining like terms: 8.5909 = 19.0909 - 15

Subtracting 19.0909 from both sides: -10.5 = -15

Therefore, the number of turnips collected by the dog (жучка) is approximately 10.5.

Please note that the number of turnips cannot be a fraction, so we can assume that the dog collected 10 turnips.

Answer

The dog (жучка) collected approximately 10 turnips.