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)

Question

Responses

1545 = 3090
Start Fraction 15 over 45 End Fraction equals Start Fraction 30 over 90 End Fraction
1545
Start Fraction 15 over 45 End Fraction
13
Start Fraction 1 over 3 End Fraction
1545 = 9030

Answer 1

To determine the correct proportion that describes the relative amounts of each color, let's simplify the ratios for both groups of children.

For the first group:

• Red blocks: 15
• Green blocks: 45

The ratio of red to green for the first group simplifies to: \[ \frac{15}{45} = \frac{1}{3} \]

For the second group:

• Red blocks: 30
• Green blocks: 90

The ratio of red to green for the second group simplifies to: \[ \frac{30}{90} = \frac{1}{3} \]

Both groups have the same ratio of red to green blocks, which is \( \frac{1}{3} \).

Now looking at the options, the correct proportions are:

• \( \frac{15}{45} = \frac{30}{90} \)
• \( \frac{15}{45} \) simplifies to \( \frac{1}{3} \)

So the correct response is: \[ \frac{15}{45} = \frac{30}{90} \]

This option states the relation between the proportions clearly.