The correct proportion that describes the relative amounts of each color is:
15 red blocks : 45 green blocks
This can be written as:
15/45 = 1/3.
15 red blocks : 45 green blocks
This can be written as:
15/45 = 1/3.
Group 1 has 15 red blocks and 45 green blocks, so the proportion is:
Start Fraction 15 over 45 End Fraction
Group 2 has 30 red blocks and 90 green blocks, so the proportion is:
Start Fraction 30 over 90 End Fraction
Therefore, the correct proportion is:
Start Fraction 15 over 45 End Fraction = Start Fraction 30 over 90 End Fraction
In the first group, there are 15 red blocks and 45 green blocks. So, the ratio of red to green blocks in the first group is 15:45.
In the second group, there are 30 red blocks and 90 green blocks. So, the ratio of red to green blocks in the second group is 30:90.
To simplify the ratios, we can divide the number of blocks by their greatest common divisor. In this case, both ratios can be simplified by dividing by 15.
For the first group, 15 ÷ 15 = 1 and 45 ÷ 15 = 3. So, the simplified ratio for the first group is 1:3.
For the second group, 30 ÷ 15 = 2 and 90 ÷ 15 = 6. So, the simplified ratio for the second group is 2:6, which can be further simplified to 1:3 as well.
Therefore, the correct proportion that describes the relative amounts of each color is 1:3.