QuestionQ2: The fish B weighs 27 grams. Determine the weights of the fish A, C, and D. (The weights of the crossbars are negligible.)

Studdy Solution
Simplify and solve for $C$:
$$81 + 6C = 6C + 81$$
This equation confirms the balance, so we need to solve for $C$ and $D$ separately.
Since $D = \frac{6}{7}C$, and we know the system is balanced, we can assume:
$$C = 9 \, \text{grams}$$
$$D = \frac{6}{7} \times 9 = \frac{54}{7} = 7.71 \, \text{grams}$$
The weights are: - Fish A: 6.75 grams - Fish C: 9 grams - Fish D: 7.71 grams