One group of children has 15 red blocks and 45 green blocks. Another group of children has 30 red blocks and 90 green blocks. WHich proportion correctly describes the relative amounts of each color show your work
A 15/45
B 1/3
C 15/45 = 90/30
D 15/45 = 30/90
To compare the relative amounts of each color between two groups, we can compare the proportions of red blocks and green blocks in each group.
In the first group, the proportion of red blocks is 15/60 or 1/4, and the proportion of green blocks is 45/60 or 3/4.
In the second group, the proportion of red blocks is 30/120 or 1/4, and the proportion of green blocks is 90/120 or 3/4.
Therefore, the correct proportion that describes the relative amounts of each color is:
D) 15/45 = 30/90
show your work in number form
Sure! Let's break down the proportions in number form:
First group:
- Red blocks: 15 (out of a total of 60 blocks)
- Green blocks: 45 (out of a total of 60 blocks)
Second group:
- Red blocks: 30 (out of a total of 120 blocks)
- Green blocks: 90 (out of a total of 120 blocks)
Comparing the proportions of red blocks:
- In the first group: 15/60 = 1/4
- In the second group: 30/120 = 1/4
Comparing the proportions of green blocks:
- In the first group: 45/60 = 3/4
- In the second group: 90/120 = 3/4
Therefore, we find that the correct proportion is:
D) 15/45 = 30/90
To determine which proportion correctly describes the relative amounts of each color, we need to compare the number of red blocks to the number of green blocks in each group.
Let's start with option A: 15/45. This proportion represents the number of red blocks to the total number of blocks in the first group. However, we also need to consider the number of green blocks in the first group.
Next, let's look at option B: 1/3. This proportion also represents the number of red blocks to the total number of blocks in the first group. However, it does not consider the number of green blocks in the first group.
Now, let's consider option C: 15/45 = 90/30. This proportion compares the total number of red blocks and green blocks in the first group to the total number of red blocks and green blocks in the second group. However, we are looking for a proportion that describes the relative amounts of each color within each group, not between the two groups.
Finally, let's look at option D: 15/45 = 30/90. This proportion correctly describes the relative amounts of each color within each group. It compares the number of red blocks to the number of green blocks in the first group, and then does the same for the second group.
Therefore, the correct proportion that describes the relative amounts of each color within each group is option D: 15/45 = 30/90.