Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 5 - Ratio and Proportion - 5.1 Ratios - 5.1 Exercises - Page 338: 53

Answer

No it is not possible.

Work Step by Step

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.
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