Question: A 4 units -> 44 - 12 = 32 1 unit -> 12 \div 4 = 3 B 3 units -> 3 \times 3 = 9 top-center graph: a long bar split into two parts, left darker and right lighter, with the full length labeled 50; the right lighter portion is labeled 30. C 5 units -> 50 - ___ = ___ 1 unit -> ___ \div ___ = ___ D 2 units -> ___ \times 2 = ___ 30 + ___ = ___ bottom-center graph: a shorter dark bar on the left marked C and a long dashed arc continuing to the right marked D, indicating C plus D makes the full length.User: Help solve

1. **State the problem:** We have a bar of total length $50$ units split into two parts: a darker left part labeled $C$ and a lighter right part labeled $D$. The right lighter portion is given as $30$ units. 2. **Given information:** - Total length: $50$ - Right lighter portion $D = 30$ - Left darker portion $C$ is unknown. 3. **Find $C$:** Since the total length is the sum of $C$ and $D$, we use the formula: $$C + D = 50$$ Substitute $D = 30$: $$C + 30 = 50$$ 4. **Solve for $C$:** $$C = 50 - 30$$ $$C = 20$$ 5. **Interpret units:** The problem mentions units for $C$ and $D$ in terms of smaller units. Since $C$ corresponds to $5$ units and $D$ corresponds to $2$ units, the total units are $5 + 2 = 7$ units. 6. **Find the length of 1 unit:** $$\text{Length of 1 unit} = \frac{\text{Total length}}{\text{Total units}} = \frac{50}{7} \approx 7.14$$ 7. **Check $C$ and $D$ lengths using units:** - $C = 5 \times 7.14 = 35.7$ (approx) - $D = 2 \times 7.14 = 14.3$ (approx) But this contradicts the given $D = 30$, so the units must be interpreted differently. 8. **Alternative approach:** Given $D = 30$ corresponds to $2$ units, then 1 unit is: $$1 \text{ unit} = \frac{30}{2} = 15$$ 9. **Calculate $C$ length using units:** $$C = 5 \times 15 = 75$$ 10. **Check total length:** $$C + D = 75 + 30 = 105$$ This contradicts the total length $50$, so the units in the problem are inconsistent or represent different scales. 11. **Conclusion:** Based on the bar labeled $50$ and right portion $30$, the left portion $C$ is: $$C = 50 - 30 = 20$$ **Final answer:** $$C = 20$$