To solve this, we need to evaluate the proportions of red blocks to green blocks for both groups.
For the first group:
- Red blocks = 10
- Green blocks = 30
- The proportion of red blocks to green blocks is \( \frac{10}{30} = \frac{1}{3} \).
For the second group:
- Red blocks = 20
- Green blocks = 60
- The proportion of red blocks to green blocks is \( \frac{20}{60} = \frac{1}{3} \).
Now, let's analyze the answer choices:
A. \( \frac{10}{30} = \frac{60}{20} \) — This is incorrect because \( \frac{60}{20} = 3 \) which does not equal \( \frac{1}{3} \).
B. \( \frac{1}{3} \) — This is correct as it represents the ratio of red to green blocks for both groups.
C. \( \frac{10}{30} = \frac{20}{60} \) — This is correct because both simplify to \( \frac{1}{3} \).
D. \( \frac{10}{30} \) — This is correct (it simplifies to \( \frac{1}{3} \)), but it doesn't provide a comparison to the second group.
The best answers that correctly describe the relative amounts of each color are B \( \frac{1}{3} \) and C \( \frac{10}{30} = \frac{20}{60} \).
1 answer