Question

solve it #2
a. determine the weight of a circle so the hanger stays balanced.
weight of square (lb) | weight of circle (lb)
20 |
(image of a balanced hanger with squares and circles as weights)

Explanation:

Step1: Count weights on each side

Left side: 2 circles (let weight be \( c \)) + 2 squares (each 20 lb). So total weight: \( 2c + 2\times20 \)
Right side: 6 squares (each 20 lb). So total weight: \( 6\times20 \)

Step2: Set up equation for balance

For balance, left = right: \( 2c + 40 = 120 \)

Step3: Solve for \( c \)

Subtract 40: \( 2c = 120 - 40 = 80 \)
Divide by 2: \( c = \frac{80}{2} = 40 \)

Answer:

40