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
Answers
GPT-4o mini
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
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