1. The problem asks to find three ratios equivalent to 5 : 2. 2. Two ratios are equivalent if their fractions are equal. That means \( \frac{a}{b} = \frac{c}{d} \). 3. The given ratio is \( 5 : 2 \), which can be written as the fraction \( \frac{5}{2} \). 4. Check each option by converting the ratio to a fraction and comparing it to \( \frac{5}{2} \): - A: \( 2 : 5 = \frac{2}{5} \), which is not equal to \( \frac{5}{2} \). - B: \( 10 : 4 = \frac{10}{4} = \frac{5}{2} \), equivalent. - C: \( 20 : 50 = \frac{20}{50} = \frac{2}{5} \), not equivalent. - D: \( 35 : 14 = \frac{35}{14} = \frac{5}{2} \), equivalent. - E: \( 55 : 22 = \frac{55}{22} = \frac{5}{2} \), equivalent. 5. Therefore, the three equivalent ratios are B, D, and E. Final answer: B 10 : 4, D 35 : 14, E 55 : 22.