Question

Which ratios are equivalent to 3 parts silver paint to 4 parts green paint? Check all that apply.

A. 4:3
B. 6:8
C. 5:6
D. 9:12

Answer 1

To find ratios equivalent to 3 parts silver paint to 4 parts green paint, set up proportions and solve for each ratio option. The only equivalent ratio is B. 6:8.

Step-by-step explanation:

To find ratios that are equivalent to 3 parts silver paint to 4 parts green paint, we can set up proportions and solve for each ratio option. Let's check each option:

A. 4:3 - To check if this ratio is equivalent, we set up the proportion: 3/4 = x/3. Cross-multiplying, we get 4x = 9, and x = 9/4. This ratio is not equivalent.

B. 6:8 - Setting up the proportion 3/4 = 6/8 and cross-multiplying, we get 8x = 18, and x = 18/8. This ratio is equivalent.

C. 5:6 - Setting up the proportion 3/4 = 5/6, we get 6x = 15, and x = 15/6. This ratio is not equivalent.

D. 9:12 - Setting up the proportion 3/4 = 9/12, we get 12x = 27, and x = 27/12. This ratio is not equivalent.

Therefore, the ratios that are equivalent to 3 parts silver paint to 4 parts green paint are B. 6:8.