## Basic College Mathematics (10th Edition)

Order is important when writing a ratio. The quantity mentioned first is the numerator. The quantity mentioned second is the denominator. When Amelia says that the ratio of her age and her mother's age is 5 to 3 that would mean that Amelia is 5 times older than her mother's age 3 times: (Amelia age x 5)/ (mother's age x 3). In any case this is not possible, since Amelia's mother is older than Amelia. If Amelia would correct her statement to the ratio of 3 to 5, than she could be right. Example: Let's assume Amelia is 27: $\frac{3 \cdot 9}{5 \cdot 9} = \frac{27}{45}$, and Amelia's mother is 45 years old.