This problem follows on from Mixing Paints
It may be useful to provide students with red and white counters so that they can simulate the effect of mixing the paints.
A possible start to using this problem in a classroom could involve asking students to suggest possible combinations of paints A and B (or C and D) and their suggestions could be written up for all to see.
Possible follow up questions:
What is the ratio of red to white paint in these mixes?
- Can any of these ratios be simplified?
- Imagine a scale representing the shades of pink between paints A and B (or paints C and D).
- Where do your mixes lie along the scale?
- How can I produce a paint that lies exactly in between these two points?
- How can I produce a paint that lies one quarter of the way along the scale?