Question

Лев,тигр и бурый медведь весят 970 кг. тигр на 70 кг тяжелее льва и на 80 кг легче бурого медведя. найди массу каждого животного.

Answer 1

Наименьшая масса - масса льва, возмем ее за х, тогда;
х+х+70+х+70+80=970
3х=970-140-80
3х=750
х=250 - масса льва
2)250+70=320 - масса тигра
3) 320+80=400 - масса медведя

Answer 2

Calculation of the Mass of Each Animal

To find the mass of each animal, we can set up a system of equations based on the given information.

Let's assume the mass of the lion is represented by L, the mass of the tiger is represented by T, and the mass of the brown bear is represented by B.

From the given information, we know the following:

1. The lion, tiger, and brown bear together weigh 970 kg. 2. The tiger is 70 kg heavier than the lion. 3. The tiger is 80 kg lighter than the brown bear.

Using these equations, we can solve for the mass of each animal.

Equation 1: L + T + B = 970 (The sum of the masses of the lion, tiger, and brown bear is 970 kg)

Equation 2: T = L + 70 (The tiger is 70 kg heavier than the lion)

Equation 3: T = B - 80 (The tiger is 80 kg lighter than the brown bear)

To solve this system of equations, we can substitute Equation 2 into Equation 3:

L + 70 = B - 80

Now, we can substitute this expression for T into Equation 1:

L + (L + 70) + (L + 70 + 80) = 970

Simplifying the equation:

3L + 220 = 970

Subtracting 220 from both sides:

3L = 750

Dividing both sides by 3:

L = 250

Now that we have the mass of the lion, we can substitute this value into Equation 2 to find the mass of the tiger:

T = 250 + 70 = 320

Finally, we can substitute the mass of the lion into Equation 3 to find the mass of the brown bear:

B = 250 + 80 = 330

Therefore, the mass of the lion is 250 kg, the mass of the tiger is 320 kg, and the mass of the brown bear is 330 kg.

Answer:

The lion weighs 250 kg, the tiger weighs 320 kg, and the brown bear weighs 330 kg.