To determine which ratios are equivalent to the ratio of 3 parts silver to 4 parts green (which can be expressed as 3:4), we can simplify the ratios given in the responses to see if they match.
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5:6 - This simplifies to 5 parts silver and 6 parts green. To compare, we can cross-multiply: \(5 \times 4 \neq 6 \times 3\). Therefore, this ratio is not equivalent.
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9:12 - This ratio can be simplified by dividing both parts by 3, resulting in 3:4. So, this ratio is equivalent.
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6:8 - This ratio can be simplified by dividing both parts by 2, resulting in 3:4. So, this ratio is also equivalent.
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4:5 - Cross-multiplying gives \(4 \times 4 \neq 5 \times 3\), so this ratio is not equivalent.
Correct answers: 9:12 and 6:8.