A group of children has 10 red blocks and 30 green blocks, another group has 20 red blocks and 60 green blocks, what proportion correctly describes the relative amounts of each color

Answer 1

To determine the proportion of red blocks to green blocks in each group, we can start by analyzing the two groups separately.

Group 1:

• Red blocks: 10
• Green blocks: 30

The total number of blocks in Group 1 is: $$10+30=40$$

The proportion of red to green blocks in Group 1 is:

• Red proportion: $\frac{10}{40}=\frac{1}{4}$
• Green proportion: $\frac{30}{40}=\frac{3}{4}$

Group 2:

• Red blocks: 20
• Green blocks: 60

The total number of blocks in Group 2 is: $$20+60=80$$

The proportion of red to green blocks in Group 2 is:

• Red proportion: $\frac{20}{80}=\frac{1}{4}$
• Green proportion: $\frac{60}{80}=\frac{3}{4}$

Summary of Proportions: For both groups:

• The proportion of red blocks is $\frac{1}{4}$.
• The proportion of green blocks is $\frac{3}{4}$.

Therefore, the relative amounts of each color can be described by the proportions $\frac{1}{4}$ (red) and $\frac{3}{4}$ (green) for both groups.