Chapter 31

A high school mathematics

contest

Christopher Newport University Regional High School Mathemat-
ics Contest, November, 2002^1

1.Randy and Hannah are eating at a restaurant. The items ordered by

Randy cost twice as much as the items ordered by Hannah. Randy

leaves a tip of 15% of the price of what he has ordered. Hannah

leaves a tip of 20% of her items. The total, including tips, paid by

the pair is exactly 70 dollars. How much was the cost of the items

Hannah ordered?

(^1) Crux Math., 29 (2003) 193–195.