Question

the to scale below are perfectly balanced 36 when what are the values
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Answer 1

Answer:

Consider the attached required figure, while going through the following steps.

Given:

The three scales below are perfectly balanced .

To find:

If = 3 then find out the values of * and puzzle

Solution:

Let "star" be x

"triangle" be y

and "circle" by z

From figure, we have,

5x = 2y + 2z

2y = 2x + 2z

3x + 3z = 3y

Given, z = 3, we get the above equation as,

5x = 2y + 2z ⇒ 5x = 2y + 2(3) ⇒ 5x = 2y + 6 ...(1)

2y = 2x + 2z ⇒ 2y = 2x + 2(3) ⇒ 2y = 2x + 6 ...(2)

3x + 3z = 3y ⇒ 3x + 3(3) = 3y ⇒ 3x + 9 = 3y ...(3)

Solving equations (1), (2) and (3), we get,

x = 4 and y = 7

∴ "star" = x = 4

"triangle" = y = 7

and "circle" = z = 3

Answer 2

Answer:

Consider the attached required figure, while going through the following steps.

Given:

The three scales below are perfectly balanced .

To find:

If = 3 then find out the values of * and puzzle

Solution:

Let "star" be x

"triangle" be y

and "circle" by z

From figure, we have,

5x = 2y + 2z

2y = 2x + 2z

3x + 3z = 3y

Given, z = 3, we get the above equation as,

5x = 2y + 2z ⇒ 5x = 2y + 2(3) ⇒ 5x = 2y + 6 ...(1)

2y = 2x + 2z ⇒ 2y = 2x + 2(3) ⇒ 2y = 2x + 6 ...(2)

3x + 3z = 3y ⇒ 3x + 3(3) = 3y ⇒ 3x + 9 = 3y ...(3)

Solving equations (1), (2) and (3), we get,

x = 4 and y = 7

∴ "star" = x = 4

"triangle" = y = 7

and "circle" = z = 3

Explanation: