Meg mixes 3 parts silver paint with 4 parts green paint to get a specific color.

Question

Is the ratio 5:6 equivalent to 3:4?

(1 point)
Responses

Yes, because any combination of silver and green will work.
Yes, because any combination of silver and green will work.

No, because there cannot be more than 4 green parts.
No, because there cannot be more than 4 green parts.

No, because the numbers in the given ratio must be multiplied by the same number.
No, because the numbers in the given ratio must be multiplied by the same number.

Yes, because both ratios show a pair of numbers that have a difference of 1.

Answer 1

To determine if the ratio 5:6 is equivalent to the ratio 3:4, we can convert both ratios to fractions and compare them:

The ratio 5:6 can be expressed as the fraction \( \frac{5}{6} \).

The ratio 3:4 can be expressed as the fraction \( \frac{3}{4} \).

Next, we can cross-multiply to check for equivalency:

• \( 5 \times 4 = 20 \)
• \( 6 \times 3 = 18 \)

Since 20 does not equal 18, the ratios 5:6 and 3:4 are not equivalent.

Therefore, the correct response is:

No, because the numbers in the given ratio must be multiplied by the same number.