The ratio of 1 ¾ to 2 ½ is equal to the ratio of 14 to what number?

Explanation

To solve the problem, start by converting the mixed numbers to improper fractions. 1 ¾ becomes 7/4, and 2 ½ becomes 5/2. Set up the ratio as 7/4 : 5/2 = 14 : x. Cross-multiply to find x: (7/4)x = (5/2) * 14. Simplify to find x = (5/2) * 14 / (7/4) = (5 * 14) / (2 * 7/4). Simplifying further gives x = 20. Thus, the correct answer is Option B: 20. The other options result from errors in conversion, cross-multiplication, or simplification.