The user-friendly version of this content is available here.

The following content is copyright (c) 2009-2013 by Goods of the Mind, LLC.

This problem trains for: SAT-I, SAT-II, Math Kangaroo 5-6, Math Kangaroo 7-8.

Given the ratios:

equation

equation

Evaluate b-c.

We can determine the ratio between b and c in the following way:

equation

Then we can easily find the participating ratios using the properties of proportions:

equation

equation

and evaluate:

equation

This result means that:

equation

and

equation