Stage: 4 Challenge Level: 
This problem gives students an opportunity to express algebraically what is known. Then, from those statements, make new statements about the relationship between the quantities of interest (here, the value of one kind of gem relative to another)
Simultaneous equations. chemistry. Patterned numbers. Calculating with ratio & proportion. Inequality/inequalities. Mathematical reasoning & proof. Number theory. Stage 5 - Reviewed 2012. Dynamical systems. Manipulating algebraic expressions/formulae.
Published October 2000.
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