Question

Масса чемодана больше массы сумки в 1,5 раза, а вместе они весят 20 кг. Чему равны масса сумки и масса чемодана?

Answer 1

20:2=10
10-1,5=8.5
10+1.5=11.5
Ответ: 8.5сумка,11.5чимодан
Вот и вс решение!

Answer 2

Пускай R - коэффициент пропорциональности. Тогда R - масса сумки, а 1,5R - это масса чемодана. Так как сумма масс = 20 кг. то имеем уравнение:
1) R+1.5R=20
2.5R=20
R=20:2.5
R=20/1 : 2 5/10 (смеш. дробь)
R = 20/1 : 25/10
R= 20/1 * 10/25
R= 200/25 = 8 (кг.) - масса сумки
2) 8 * 1.5 = 8/1 * 10/15 = 12 (кг.) масса чемодана.

Ответ: 8 кг. и 12 кг.

Answer 3

Calculation of the Mass of the Suitcase and Bag

To solve this problem, let's assign variables to the unknowns: - Let's call the mass of the suitcase S. - Let's call the mass of the bag B.

According to the given information: - The mass of the suitcase is greater than the mass of the bag by 1.5 times. - The combined mass of the suitcase and bag is 20 kg.

We can set up the following equations based on the given information:

Equation 1: S = 1.5B (The mass of the suitcase is 1.5 times the mass of the bag)

Equation 2: S + B = 20 (The combined mass of the suitcase and bag is 20 kg)

To find the values of S and B, we can solve these equations simultaneously.

Solving the Equations

Substituting Equation 1 into Equation 2, we get:

1.5B + B = 20

Simplifying the equation:

2.5B = 20

Dividing both sides of the equation by 2.5:

B = 20 / 2.5 = 8

Now that we have the value of B, we can substitute it back into Equation 1 to find the value of S:

S = 1.5B = 1.5 * 8 = 12

Therefore, the mass of the bag is 8 kg, and the mass of the suitcase is 12 kg.

Answer

The mass of the bag is 8 kg, and the mass of the suitcase is 12 kg.