Question

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)
Responses

1545 = 9030
Start Fraction 15 over 45 End Fraction equals Start Fraction 90 over 30 End Fraction

13
Start Fraction 1 over 3 End Fraction

1545
Start Fraction 15 over 45 End Fraction

1545 = 3090

Answer 1

To determine which proportion correctly describes the relative amounts of each color of blocks from the two groups of children, we need to examine the ratio of red blocks to green blocks in each group.

For the first group:
- Red blocks = 15
- Green blocks = 45
- The ratio of red to green is:
\[
\frac{15}{45} = \frac{1}{3}
\]

For the second group:
- Red blocks = 30
- Green blocks = 90
- The ratio of red to green is:
\[
\frac{30}{90} = \frac{1}{3}
\]

Now we can compare the two ratios:
- The ratio of red to green blocks in both groups is \(\frac{1}{3}\).

The correct proportions from the options provided that describe the relative amounts of each color are:
\[
\frac{15}{45} = \frac{30}{90}
\]
Which simplifies to:
\[
\frac{1}{3} = \frac{1}{3}
\]
Thus, the most appropriate choice would be:

**1545 = 3090**

This indicates that the ratios of red to green blocks are equivalent for both groups.