The sides of a square are each 6.5 centimeters long. The square is dilated
by a scale factor of 5. What is the side length of the image of the square?

Let = number of nickels
Let = number of dimes
Let = number of quarters

(1)
(2) ( in cents )
(3)

This is 3 equations and 3 unknowns,
so it's solvable
Substitute (3) into both (1) and (2)
(1)
(2)

(1)
(2)
multiply both sides of (1) by
and subtract (2) from (1)