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?(1 point)
The proportion that correctly describes the relative amounts of each color is:
15 red blocks : 45 green blocks = 30 red blocks : 90 green blocks
To find the proportion that correctly describes the relative amounts of each color, you need to compare the number of red blocks to the total number of blocks in each group and do the same for green blocks.
Group 1:
- Red blocks: 15
- Green blocks: 45
Group 2:
- Red blocks: 30
- Green blocks: 90
To find the proportion, you divide the number of red or green blocks by the total number of blocks and simplify if possible.
For Group 1:
- Proportion of red blocks = (number of red blocks) / (total number of blocks) = 15 / (15 + 45) = 15 / 60 = 1/4
- Proportion of green blocks = (number of green blocks) / (total number of blocks) = 45 / (15 + 45) = 45 / 60 = 3/4
For Group 2:
- Proportion of red blocks = (number of red blocks) / (total number of blocks) = 30 / (30 + 90) = 30 / 120 = 1/4
- Proportion of green blocks = (number of green blocks) / (total number of blocks) = 90 / (30 + 90) = 90 / 120 = 3/4
Therefore, the correct proportion that describes the relative amounts of each color for both groups is 1/4 for red blocks and 3/4 for green blocks.
To determine the correct proportion that describes the relative amounts of each color, we need to compare the number of red blocks to the number of green blocks for each group of children.
For the first group, we have 15 red blocks and 45 green blocks. To find the ratio between red and green blocks, we divide the number of red blocks by the number of green blocks:
15 red blocks / 45 green blocks = 1/3
For the second group, we have 30 red blocks and 90 green blocks. Again, we calculate the ratio between red and green blocks by dividing the number of red blocks by the number of green blocks:
30 red blocks / 90 green blocks = 1/3
Comparing the ratios for both groups, we see that both ratios are equal, 1/3. Therefore, the correct proportion that describes the relative amounts of each color is:
1 red block : 3 green blocks