Question

Задача 4. Мышь, мышонок и сыр вместе весят 170 г. Сыр весит на 110 г больше, чем мышь и мышонок вместе взятые. Мышонок весит в два раза меньше, чем мышь. Сколько граммов весит каждый из них?

Answer 1

Ответ:

Пошаговое объяснение:

Сыр=x мышь=u мышонок=y

x+u+y=170

x-(u+y)=110

u=2y

вычтем из 1 ур-е 2 и подставим u=2y

2u+2y=60

6y=60

y=10

u=20

x=140

Answer 2

Problem Analysis

To solve this problem, we need to find the weights of the mouse, the baby mouse, and the cheese. We are given the following information:

1. The combined weight of the mouse, baby mouse, and cheese is 170 grams. 2. The cheese weighs 110 grams more than the combined weight of the mouse and baby mouse. 3. The baby mouse weighs half as much as the mouse.

Let's use these clues to find the weights of each individual.

Solution

Let's assume the weight of the mouse is x grams.

According to the given information, the baby mouse weighs half as much as the mouse, so the weight of the baby mouse is x/2 grams.

The cheese weighs 110 grams more than the combined weight of the mouse and baby mouse, so the weight of the cheese is (x + x/2) + 110 grams.

The combined weight of the mouse, baby mouse, and cheese is 170 grams, so we can write the equation:

x + x/2 + (x + x/2) + 110 = 170

Simplifying the equation:

2x + x + 2x + x + 220 = 340

6x + 220 = 340

Subtracting 220 from both sides:

6x = 120

Dividing both sides by 6:

x = 20

Therefore, the mouse weighs 20 grams.

The baby mouse weighs half as much as the mouse, so the baby mouse weighs 20/2 = 10 grams.

The cheese weighs 110 grams more than the combined weight of the mouse and baby mouse, so the cheese weighs (20 + 10) + 110 = 140 grams.

Answer

Based on the given information, the mouse weighs 20 grams, the baby mouse weighs 10 grams, and the cheese weighs 140 grams.