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

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

(1 point)
Responses

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

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

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

1 answer

To determine if the ratio of 5:6 is equivalent to the ratio of 3:4, we can compare the two ratios by cross-multiplying.

For the ratios:

  • 3:4 means 3/4
  • 5:6 means 5/6

Cross-multiplying gives:

  • 3 * 6 = 18
  • 5 * 4 = 20

Since 18 is not equal to 20, the two ratios are not equivalent.

Thus, the correct response would be: No, because the numbers in the given ratio must be multiplied by the same number.