Question

Определи массу лисы,белочки и обезьянки, если известно: масса зайца-3кг; масса двух одинаковых зайцев на1 кг меньше массы лисы; масса двух обезьян равна массе одного зайца и одной лисы; масса обезьяны на 1кг больше массы одного зайца и одной белочки.

Answer 1

Лиса 7 кг
Белка 1 кг
Обезьянка 5 кг

Answer 2

Лиса-7кг
белочка-1кг
обезьянка-5кг
3+3=6 6+1=7(лисы)
7+3=10 10:2=5(обезьян)
3+1=4

Answer 3

Problem Analysis

We are given the following information: - The mass of a rabbit is 3 kg. - The mass of two identical rabbits is 1 kg less than the mass of a fox. - The mass of two monkeys is equal to the mass of one rabbit and one fox. - The mass of a monkey is 1 kg more than the mass of one rabbit and one squirrel.

We need to determine the masses of the fox, squirrel, and monkey.

Solution

Let's assign variables to the unknown masses: - Mass of the fox = F - Mass of the squirrel = S - Mass of the monkey = M

From the given information, we can write the following equations: 1. The mass of two identical rabbits is 1 kg less than the mass of a fox: 2 * 3 = F - 1. 2. The mass of two monkeys is equal to the mass of one rabbit and one fox: 2M = 3 + F. 3. The mass of a monkey is 1 kg more than the mass of one rabbit and one squirrel: M = 3 + S + 1.

Let's solve these equations to find the values of F, S, and M.

Solution Steps

1. Substitute the value of F from equation 1 into equation 2: 2M = 3 + (2 * 3 - 1). 2. Simplify equation 2: 2M = 3 + 5. 3. Simplify equation 2 further: 2M = 8. 4. Divide both sides of equation 2 by 2: M = 4. 5. Substitute the value of M into equation 3: 4 = 3 + S + 1. 6. Simplify equation 3: 4 = 4 + S. 7. Subtract 4 from both sides of equation 3: 0 = S. 8. Substitute the value of S into equation 1: 2 * 3 = F - 1. 9. Simplify equation 1: 6 = F - 1. 10. Add 1 to both sides of equation 1: 7 = F.

Solution

Based on the solution steps, we have found the following masses: - The mass of the fox (F) is 7 kg. - The mass of the squirrel (S) is 0 kg. - The mass of the monkey (M) is 4 kg.

Therefore, the mass of the fox is 7 kg, the mass of the squirrel is 0 kg, and the mass of the monkey is 4 kg.