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
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, we need to compare the number of red blocks to the number of green blocks in each group.
Group 1 has 15 red blocks and 45 green blocks.
Group 2 has 30 red blocks and 90 green blocks.
To compare the relative amounts of red and green blocks in each group, we can set up the following proportion:
Red Blocks in Group 1 : Green Blocks in Group 1 = Red Blocks in Group 2 : Green Blocks in Group 2
Plugging in the values:
15 : 45 = 30 : 90
Now, we can simplify the proportion:
15/45 = 30/90
Dividing both sides by 15:
1/3 = 2/6
Simplifying further, we can multiply both sides by 6:
6 * (1/3) = 6 * (2/6)
2 = 2
Therefore, the proportion that correctly describes the relative amounts of each color is:
1 red block : 3 green blocks (or in ratio form, 1:3).
To determine the proportion that correctly describes the relative amounts of each color, we need to compare the number of red blocks to the number of green blocks in both groups.
Let's start with the first group of children. The group has 15 red blocks and 45 green blocks. To determine the proportion, we divide the number of red blocks by the number of green blocks:
Proportion for the first group: 15 red blocks / 45 green blocks
Now let's move on to the second group of children. The group has 30 red blocks and 90 green blocks. Again, we divide the number of red blocks by the number of green blocks:
Proportion for the second group: 30 red blocks / 90 green blocks
Now we have two proportions: one for the first group and one for the second group. To find the correct proportion that describes the relative amounts of each color, we compare these two proportions.
If we simplify both proportions, we get:
- For the first group: 15/45 = 1/3
- For the second group: 30/90 = 1/3
Both proportions simplify to 1/3.
Therefore, the correct proportion that describes the relative amounts of each color in both groups is 1:3 (1 part red to 3 parts green).