Question

Here is a balanced hanger diagram. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square.

Select all equations that represent the hanger.

D. 2x+2.5=3

B. 2x=0.5

E. 4x+2.5+2.5+3+3=2x+2.5+3+3+3

C. 4x+5+6=2x+2.5+6

A. x+x+x+x+11=x+11.5

Answer 1

Option E will be the correct option.

  Condition for the balanced hanger,

• Both the sides of the hanger will be balanced if weights on both the sides of the hanger must be equal.

Weights on left side = 4(weight of one square) + 2(weight of one triangle) + 2(weight of one circle)

Weights on right side = 2(weight of one square) + 1(weight of one triangle) + 3(weight of one circle)

Since, hanger is balanced,

Weights on the left side = Weights on the right side

4(weight of one square) + 2(weight of one triangle) + 2(weight of one circle) = 2(weight of one square) + 1(weight of one triangle) + 3(weight of one circle)

4x + 2(2.5) + 2(3) = 2x + 2.5 + 3(3)

4x + 2.5 + 2.5 + 3 + 3 = 2x + 2.5 + 3 + 3 + 3

    Therefore, Option E will be the answer.

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