Question

select all ratios equivalent to 3:2. 15:1 30:20 4:6

Explanation:

Step1: Analyze 15:1

A ratio equivalent to \( 3:2 \) should have the same simplified form. Simplify \( 15:1 \), it cannot be simplified to \( 3:2 \) (since \( \frac{15}{1}=15 \) and \( \frac{3}{2}=1.5 \), not equal). So 15:1 is not equivalent.

Step2: Analyze 30:20

Simplify \( 30:20 \) by dividing both terms by 10: \( \frac{30\div10}{20\div10}=\frac{3}{2} \), which is \( 3:2 \). So 30:20 is equivalent.

Step3: Analyze 4:6

Simplify \( 4:6 \) by dividing both terms by 2: \( \frac{4\div2}{6\div2}=\frac{2}{3} \), which is \( 2:3 \), not \( 3:2 \). So 4:6 is not equivalent.

Answer:

The only ratio equivalent to \( 3:2 \) is \( 30:20 \). So the correct option is \( 30:20 \).