Question

Making a certain shade of paint requires mixing 3 parts silver with 4 parts green. Meg uses this data to start this table of equivalent ratios. Which ratios are equivalent to 3 parts silver paint to 4 parts green paint? Check the%C2%A0two that apply. (2 points) Responses 5:6 5:6 9:12 9:12 6:8 6:8 4:5 4:5 Skip to navigation

Answer 1

To determine which ratios are equivalent to the ratio of 3 parts silver to 4 parts green (3:4), we can find equivalent ratios by scaling the ratio up or down.

1. Starting with the ratio 3:4, we can multiply both parts by 2 to find an equivalent ratio:

   • 3 × 2 = 6
   • 4 × 2 = 8
   • So, 6:8 is an equivalent ratio.

2. Next, check the ratio 9:12:

   • 3 × 3 = 9
   • 4 × 3 = 12
   • So, 9:12 is also an equivalent ratio.

3. Now, checking the ratio 5:6, it does not maintain the same proportion because:

   • 3/4 is not equal to 5/6.

4. Finally, the ratio 4:5 does not maintain the same proportion because:

   • 3/4 is not equal to 4/5.

Based on the checks, the two ratios that are equivalent to 3 parts silver to 4 parts green paint are:

1. 6:8
2. 9:12