Question

One group of children has 10 red blocks and 30 green blocks. Another group of children has red children has 20 red blocks and 60 green blocks. which proportion describes the relative amount of each color

Answer 1

To find the proportion of each color of blocks in each group, you can calculate the ratio of red blocks to the total number of blocks and the ratio of green blocks to the total number of blocks for both groups.

### For the first group:
- Red blocks: 10
- Green blocks: 30
- Total blocks: \(10 + 30 = 40\)

Proportion of red blocks:
\[
\frac{10}{40} = \frac{1}{4} \text{ or } 25\%
\]

Proportion of green blocks:
\[
\frac{30}{40} = \frac{3}{4} \text{ or } 75\%
\]

### For the second group:
- Red blocks: 20
- Green blocks: 60
- Total blocks: \(20 + 60 = 80\)

Proportion of red blocks:
\[
\frac{20}{80} = \frac{1}{4} \text{ or } 25\%
\]

Proportion of green blocks:
\[
\frac{60}{80} = \frac{3}{4} \text{ or } 75\%
\]

### Summary of Proportions:
Both groups have the same proportions of blocks:
- **Red blocks**: 25%
- **Green blocks**: 75%

This indicates that in relation to the total number of blocks, the relative amounts of each color are the same across both groups.