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

Question

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

Answer 1

To determine if the ratios 3:4 and 5:6 are equivalent, we can first simplify both ratios to their decimal forms or cross-multiply to check for equivalency.

For the ratio 3:4:
- Decimal form = 3 ÷ 4 = 0.75
For the ratio 5:6:
- Decimal form = 5 ÷ 6 ≈ 0.8333

Since 0.75 is not equal to 0.8333, the ratios 3:4 and 5:6 are not equivalent.

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