Option C. 3 grams is the answer.
Mass given,
- One circle = 3 grams
- One square = 2 grams
For the balanced hanger diagram,
- Mass on left arm = Mass on right arm
Mass on left arm = 2.(one triangle) + 6.(one square) + 3.(one circle)
Mass on right arm = 5.(one triangle) + 3.(one square) + 2.(one circle)
Equation for the balanced hanger,
2.(one triangle) + 6.(one square) + 3.(one circle) = 5.(one triangle) + 3.(one square) + 2.(one circle)
Now solve this equation,
(6 - 3).(one square) + (3 - 2).(one circle) = (5 - 2).(one triangle)
3.(one square) + 1.(one circle) = 3.(one triangle)
3.(2) + 1.(3) = 3.(one triangle)
6 + 3 = 3.(one triangle)
One triangle = 3 grams
Therefore, Option (C) will be the correct option.
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