Question

За весну ваш пес потерял 1/4 своего веса.Затем за лето прибавил в весе 1/5 часть.За осень похудел на 1/10 веса, а за зиму прибавил 1/5 веса. ПОХУДЕЛ ИЛИ ПОПРАВИЛСЯ ПЕС ЗА ПРОШЕДШИЙ ГОД?

Answer 1

$- \frac{1}{4} + \frac{1}{5} - \frac{1}{10}+ \frac{1}{5} = \frac{1}{20}$

Положительное число, значит поправился. 

Answer 2

Calculation of Weight Changes

To determine whether the dog lost or gained weight over the past year, we need to calculate the net change in weight based on the given information.

Let's break down the weight changes for each season:

1. Spring: The dog lost 1/4 of its weight. 2. Summer: The dog gained 1/5 of its weight. 3. Autumn: The dog lost 1/10 of its weight. 4. Winter: The dog gained 1/5 of its weight.

To calculate the net change in weight, we need to add the weight gained and subtract the weight lost. Let's perform the calculations:

1. The dog lost 1/4 of its weight in spring. 2. The dog gained 1/5 of its weight in summer. 3. The dog lost 1/10 of its weight in autumn. 4. The dog gained 1/5 of its weight in winter.

Now, let's calculate the net change in weight:

1. Weight lost in spring: 1/4 2. Weight gained in summer: 1/5 3. Weight lost in autumn: 1/10 4. Weight gained in winter: 1/5

To find the net change, we need to subtract the weight lost from the weight gained:

Net change = (Weight gained in summer + Weight gained in winter) - (Weight lost in spring + Weight lost in autumn)

Net change = (1/5 + 1/5) - (1/4 + 1/10)

Simplifying the equation:

Net change = (2/5) - (3/20)

Net change = 8/20 - 3/20

Net change = 5/20

Simplifying further:

Net change = 1/4

Conclusion

Based on the calculations, the dog lost 1/4 of its weight over the past year.