Boş qabın kütləsinin tapılması

MathematicsAlgebraMedium

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143. Yarısına qədər su ilə dolu olan qab tam dolduqda kütləsi $60\%$ artır. Qab su ilə tam dolduqda kütləsi $2$ kq olarsa, boş qabın kütləsini tapın.

A) $0,4$ kq B) $0,5$ kq

C) $0,6$ kq D) $0,7$ kq

E) $0,8$ kq

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Step 1

Hi ELCAN, let's solve this problem about container mass together.

Problem Setup

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Step 2

Let x be the mass of the empty container, and y be the mass of the water when the container is completely full.

$$x + y = 2$$
$$x + 0.5y = (x + 0.5y) * 1.6$$
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Step 3

We are given that when the container is half full, its mass increases by 60 percent to reach the full mass of 2 kilograms. So, 2 equals 1.6 times the mass when half full.

$$2 = 1.6 * (x + 0.5y)$$
$$x + 0.5y = 2 / 1.6$$
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Step 4

Calculating 2 divided by 1.6 gives us 1.25. So, the mass when half full is 1.25 kilograms.

$$x + 0.5y = 1.25$$
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Step 5

Now we have a system of two equations: x plus y equals 2 and x plus 0.5y equals 1.25.

$$x + y = 2$$
$$x + 0.5y = 1.25$$

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About This Question

Subject
Mathematics
Topic
Algebra
Difficulty
Medium
Question Type
Multiple Choice

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